School of Mathematics

College of Science

University of Tehran

Tehran 14155-6455 Iran

Phone and Fax: +98-21-61112620, +98-21-66412178

Emails:

Personal

Education

Academic Employments

Honors

Commendation Letters

Professional Services

Editorial experience

Professional memberships

Research Interests

Research Projects for Iranian Universities

Professional Lectures

Publications

Papers in Persian Language

Editor of Proceedings

Books authored in Persian language

Books translated into Persian language

Graduated Ph.D. students

Graduated M.Sc. Students

Personal

Born on 31 Aug. 1950, Abadan, Iran.

Married & have three children.

Education

1978** Ph.D. Pure Mathematics**, University of Birmingham, England.

1975** M.Sc. Pure Mathematics**, University of Birmingham, England.

1974** B.Sc. **with distinction, **Pure Mathematics**, University of Tehran.

Academic Employments

**2009-present** Adjunct Professor, Faculty of Engineering Science, University of Tehran.

**2003** Deputy Dean in Administrative and Financial Affairs, Faculty of Science, University of Tehran.

**1997-present **Professor of Mathematics, Department of Mathematics, University of Tehran.

**1995-1998 **Head of Research Group in Group Theory, Institute for Studies in Theoretical Physics and Mathematics (Research Institute in Basic Science).

**1995-1999** Head, Department of Mathematics and Computer Science, University of Tehran.

**1989-1995** Head of Postgraduate Studies, Department of Mathematics and computer science, University of Tehran.

**1992-1997** Associate Professor of Mathematics, Department of Mathematics, University of Tehran.

**1989-1992** Assistant Professor of Mathematics, Department of Mathematics, University of Tehran.

**1984-1989** Assistant Professor of Mathematics, Department of Mathematics, Ahwaz University.

**1983-1984** Assistant Professor of Mathematics, Abadan Institute of Technology.

**1979-1980** Head, Department of Mathematics, Ahwaz University.

**1978-1981** Assistant Professor of Mathematics, Department of Mathematics, Ahwaz University.

Honors

**2015 **Sabbatical leave, University of North Carolina at Charlotte, USA.

**2012 **Salient Researcher of the University of Tehran.

**2008 **Distinguished Researcher of the University of Tehran.

**2008 **Author of the distinguished book of the Tehran University Press, Algebra in 3 volumes.

**2005-2007** Visiting Professor, University of North Carolina at Charlotte, USA.

**2003** Distinguished Professor of the University of Tehran.

**2002-2008** Senior associate member of the International Abdus-Salam Center for Theoretical Physics (ICTP), Italy.

**2001** Sabbatical leave awarded by the University of Tehran, Yale University, USA.

**1997** Winner of basic research prize in the 10^{th} Kharazmi international festival, Tehran, Iran.

**1994** Sabbatical leave awarded by the University of Tehran, Yale University, USA.

**1991-1997 **Associate Member of the International Center for Theoretical Physics, Trieste, Italy.

**1990** Winner of the Abdus-salam prize in Mathematics.

**1974-1978 **Scholarship awarded by Ministry of Science and Higher Education of Iran.

**1974 **Top student in B.Sc. class of 1974, University of Tehran, Tehran, Iran.

Commendation Letters

**1996 (1375) **President of Iran for receiving the Kharazmi prize in basic science.

**1993 (1371) **Minister of culture and higher education of Iran for authoring the book “An introduction to group theory”.

**1992 (1371) **Chancellor of the University of Tehran for the project “t-designs with a given group of automorphism”.

**1990 (1369) **Vice-president of Iran for receiving the Abdus-Salam prize.

**1990 (1369) **Head of Institute for studies in Physics and Mathematics for receiving the Abdus-Salam prize.

Professional Services

**2015-present **Treasurer of the Iranian Mathematical Society.

**2011** Organizer and chairman of the scientific committee, 3^{rd} Conference and Workshop on Group Theory, University of Tehran, Mar. 9-10.

**2011** Member of the Scientific Committee, Biennial International Group Theory Conference, Univ. Tecknologi Malaysia. Johor Bahru, Johor, Malaysia. 14-18 Feb.

**2008** Organizer of the AMS special session #1035, SS#08, San Diego, CA, Jan. 6-9.

**2003-2006 **Member of the executive council of the Iranian Mathematical Society.

**1992-present** Reviewer, Zentralblatt fur Mathematik.

**1991-1995 **Member of the national committee for mathematics Olympiads.

**1990-1993** Responsible for student competition held by the Iranian Mathematical Society.

**1988-1990 **Member of the executive council of the Iranian Mathematical Society.

**1985-present** Reviewer, American Mathematical Reviews.

**1980-present** Referee for major mathematical and chemical peer-reviewed journals.

**1980-present** Committee member for more than 20 Ph.D. student and 50 M.Sc. students.

Editorial experience

**2011-present** Member of the editorial board of the “International Journal of Group Theory”.

**2011-present** Member of the editorial board of “Transactions on Combinatorics”.

**2008-present** Member of the editorial board of “Mathematical Sciences”, Quarterly Journal of the Azad Univarsity, Karaj Branch.

**2008-present** Member of the editorial board of the “Italian Journal of Pure and Applied Mathematics”.

**2007-present** Member of the editorial board of the “Scientific Journals International”.

**2002-2003** Member of the editorial board of the “Journal of Science of the University of Tehran”.

**1997-1999** Member of the editorial board of the “Journal of Science of the University of Tehran”.

**1996-1998** Member of the executive council of the Iranian Mathematical Society.

**1996-2000** Editor-in-chief, “Bulletin of the Iranian Mathematical Society”.

**1991-1996** Member of the editorial board of the “Bulletin of the Iranian Mathematical Society”.

**1988-2000 **Member of the editorial board of the “Farhang va Andisheh Riazy”, Iranian Mathematical Society.

**1988-1990 **Editor-in-chief, “News Letter of the Iranian Mathematical Society”.

**1984-1989** Member of the editorial board of the “Science Journal” of the University of Ahwaz.

__ __

Professional memberships

**1983-present** Member of the Mathematical Association of America.

**1978-present **Member of the Iranian Mathematical Society.

**1977-present **Member of the American Mathematical Society.

**1976-present **Member of the London Mathematical Society.

Research Interests

Q-groups, Products of groups, Locally finite groups, Association schemes, Generation of groups, Strongly regular graphs, p-Steinberg characters, Mathematical Chemistry, Topological indices of graphs, Symmetry classes of tensors, Quasi-permutation characters, Character theory of finite groups, t-designs with a given group of automorphism, Characterizing finite groups by their prime graph, Characterizing finite groups by the set of their element orders, Modular characters and decomposition matrices for linear groups, Topological indices of graphs, Binary codes obtained from designs, Automorphism group of p-groups, Caley graphs.

Research Projects for Iranian Universities

**Characters of the group GL**_{n}(2)*,*6 months, 1363 (1984),*Ahwaz University.***Maximal 2-local subgroups of C**_{1}*,*6 months, 1363 (1984)*, Ahwaz University.***On the decomposition numbers of certain linear groups***,*12 months, 1366 (1987),*Ahwaz University.***t-designs with a given group of automorphism***,*18 months, 1368 (1989),*University of Tehran.***Irreducible characters of SL**_{5}(3)*,*9 months, 1370 (1991),*University of Tehran.***Irreducible character table of the automorphism group of SL**_{5}(3)*,*12 months, 1374 (1995),*University of Tehran.***Degrees of the irreducible characters of the affine group**, 18 months, 1374 (1995)*, University of Tehran.***Conjugacy classes and character table of certain group***,*18 months, 1377 (1998)*, University of Tehran.***The character table of the group GL**_{2}(q) when extended by a certain group of orders two*,*6 months, 1379 (2000)*, University of Tehran.***Quantitative structure of the finite groups,**18 months, 1379 (2000),*University of Tehran.***Product of groups**18 months*,**, Ministry of Science, Research and Technology, Iran.***Factorization of groups as product of Linear and symmetric groups,**12 months, 1382 (2003)*, University of Tehran.***Characterization of linear groups,**12 months, 1383 (2004),*University of Tehran.***Characterization of simple groups by order elements or component orders,**12 months, 1386 (2007),*University of Tehran.***Recognition of the special linear group over GF(3)**, 12 months,1386 (2008),*University of Tehran.***Computing the topological indices of the triangle graph**, 10 months, 1388 (2009),*University of Tehran.***Characterization of groups D**, 1388 (2009), Research Institute for Fundamental Sciences, Tabriz University, Tabriz._{p+1}(2) and D_{p+1}(3) using order components**Power of irreducible characters,**12 months, 1388 (2009),*University of Tehran.***Computation of the Wiener and hyper-Wiener indices of chemical graphs**, 12 months, 1388 (2009),*University of Tehran.***Computation of the topological indices of the triangle graph**, 10 months, 1388 (2009),*University of Tehran.***Powers of irreducible characters**, 6 months, 1389 (2010),*University of Tehran.***Computation of the Wiener and hyper-Wiener indices of chemical graphs**, 11 months, 1390 (2010),*University of Tehran.***G-graphs and symmetric graphs**, 12 months, 1395(2017),*ICRP*, Tehran, Iran.

Professional Lectures

**Some maximal subgroups of the Conway’s group Co _{1}**,

**On some characters of certain linear groups**,*15*1984, Shiraz, Iran. MR 91a 20014.^{th}Annual Iranian Mathematics Conference,- Short communication presented at the
*International Congress of Mathematicians,*Berkley, 1986, USA. **Characters of automorphism group of a certain linear group***, 2*1987, Kashan, Iran.^{nd}National Algebra Seminar,**On commutative non-associative algebras associated with a group of automorphism of a 2- design**,*19*1988, Rasht, Iran.^{th}Annual Iranian Mathematics Conference,**Modular characters of finite groups**,*4*1988, Mashhad, Iran.^{th}National Algebra Seminar,**Moonshine for certain groups***, 6*1989, Tehran, Iran.^{th}National Algebra Seminar,- Short communication presented at the
*International Congress of Mathematicians,*1990, Kyoto, Japan. **Fischer matrices and charater table***, 23*1992, Kermanshah, Iran.^{rd}Annual Iranian Mathematics Conference,- Poster presentation at the
*First European Congress of Mathematics,*1992, Paris, France. **Degree problem in finite group theory**,*24*1993, Shahid Beheshti University, Tehran, Iran.^{th}Annual Iranian Mathematics Conference,**Character tables of some group extensions,***7*1993, Hamadan, Iran.^{th}National Algebra Seminar,**Geometric Characters of the general linear groups**,*The I.B.R. International workshops,*August 8-12, 1995, Montroduni, Italy. MR 98c:2002, Zbl. 891.20031. Invited speaker.**On the p- Steinberg character of some finite simple groups***, 2*17-20, 1995, Nakhon Ratchasima University of Technology, Thailand, World Scientific publishing, River Edge, NJ, 1998, MR 99j:20018. Invited speaker.^{nd}Asian mathematics conference,**The character table of certain automorphism group**,*26*1995, Kerman, Iran. MR 1492625. (With A. R. Ashrafi)^{th}Annual Iranian Mathematics conference,**On the p-Steinberg characters of some finite simple groups,***27*1996, Shiraz, Iran. MR 97 j: 20015, Zbl. 990.37931.^{th}Annual Iranian Mathematics conference,**The problem of intervals in the subgroup lattice of a finite group**,*27*1996, Shiraz, Iran. MR 1416785, Zbl. 916.20013. (With A.R. Ashrafi)^{th}Annual Iranian Mathematics conference,**The characters and conjugacy classes in the extension of the general linear group by the transpose-inverse involution***, 28*1997, Tabriz, Iran. MR 99c:20059.^{th}Annual Iranian Mathematics conference,**Conjugacy classes of GL**_{2}(q)^{+}and SL_{2}(q)^{+}*,**Groups St Andrews,*1997, Bath, England. 30 minutes talk.**The character table of the group GL**_{2}(q) when extended by a certain group of order two*, The International Congress of Mathematicians,*August 18-27, 1998, Berlin, Germany.**Character table of GL**_{2}(q)^{+}*, Groups Korea,*1998, Korea. 45 minutes talk.**Geometric characters of the classical groups***, 11*1999, Isfahan, Iran. Invited speaker.^{th}National Algebra Seminar,**(p,q,r)-Generations of the Conway group Co****1 for p****≥ 5***,**31*2000, Tehran, Iran. MR 2002c:20025, Zbl. 1013.20011. (With A.R.Ashrafi and G.A.Moghani)^{st}Annual Iranian Mathematics Conference,**Factorization of finite groups,***The International Congress of Mathematicians***,**19-29, 2002, Beijing, China.**Factorization of finite groups as product of L**_{2}(q) and a symmetric group,*ICM Satellite conference in Algebra and related topics,*14-17, 2002, The Chinese university of Hong Kong, Hong Kong.**Factorizations of finite groups,***33*2002, Mashhad, Iran. Invited speaker.^{rd}Annual Iranian Mathematics conference,**On recognition property of the projective special linear group over GF(3),***Joint Mathematical Meeting of AMS, Special session on Groups, Representations and Character Theory,*6-9 Jan 2008, San Diego, CA, USA. Invited speaker.**Computing elements orders in the linear group,***39*24-27 Aug 2008, Kerman, Iran. Invited speaker.^{th}Annual Iranian Mathematics Conference,**On recognition of the projective linear groups by spectrum,***Group theory, Combinatorics and Computation at the University of Western Australia in Perth,*5-16 Jan 2009.**A rational property of irreducible characters of finite groups**, Groups – St. Andrews 2009 in Bath, England, August 1-15.**The wiener, Szeged and PI-index of the triangle graph**, 5^{th}Asian Mathematical Conference, Kuala Lumpur, Malaysia, 22-26 June 2009.**Products of groups,**2^{nd}group theory conference**,**Mashhad, Iran**,**11-14 March 2010**.**Invited speaker**.****On factorization of finite groups,**ICM 2010**,**Hyderabad, India**,**19-27 August 2010**.****Recognition of finite groups by spectrum,**Biennial International Group Theory Conference 2011, Univ. Tecknologi Malaysia. Johor Bahru, Johor, Malaysia. 14-18 February, 2011. Invited speaker**.****On products of conjugacy classes and irreducible characters in finite groups,**The 4^{th}group theory conference of Iran, Payam Noor University of Isfahan, Isfahan, Iran, 7-9 March 2012. Invited speaker**.****Products of conjugacy classes,**Antalya Algebra Days, 15-20 May 2012, Ismir, Turkey.**Graph Theoretical and numerical characterization of finite groups,**43^{rd}Annual Iranian Mathematics Conference, 27-30 August 2012, Tabriz, Iran. Invited speaker**.****Solvable groups with exactly two conjugacy classes of the same order,**Algorithmic problems in group theory and related areas, Sobolev Institute of Mathematics, 31 July-10 August 2012, Novosibirisk, Russia.**Characterization of finite groups by graphs related to the elements order and a certain group property,**2^{nd}Biennial International Group Theory Conference, Dogus University, 4-8 February 2013, Istanbul, Turkey. Invited speaker.**Classifying groups with exactly two conjugacy classes of the same order,**International Conference on Group Theory, 16-20 July 2013, Sobolev Institute of Mathematics, Novosibirisk, Russia.**Quantitative characterization of the projective special linear group**, International conference in Groups, Group Rings and Related Topics, 27-30 Oct. 2013, UAE.**Toward classifying finite groups with exactly two conjugacy classes of the same order**, ICM 2014,13-21 August 2014, South Korea.**Products of groups**, 4th Cemal Koc Algebra dayd, Middle East Technical University, Ankara, Turkey, 22-23 April 2016. Invited speaker.**On edge-transitivity of Cayley graphs**, 44th Biennial International group theory conference, 23-26 January 2017. Invited speaker.**On rational irreducible characters of finite groups**, Groups St. Andrews 2017 in Birmingham, 5-13 August 2017, England.**Representations and characters of finite groups: Old and new results**, AIMC, Bu-Alisina University, Hamadan, 22-25 August 2017, Iran.

Publications

__1983__

**Maximal subgroups of PSL**_{n}(q), q = p^{m}, p prime, which contain a Sylow p-subgroup,*Un. Mat. Ital. A (6)*2 (1983), no. 3, 351-353, MR 85 j: 20048, Zbl. 532.20007.

__1984__

**Maximal subgroups of the group GL**_{6}(2),*Malaysian Math. Soc.*7 (1984), no. 2, 49-55. MR 86g: 20062, Zbl. 568.20044.**Maximal 2-local subgroups of C**_{1},*Iranian Math. Soc.*11 (1984), no. 1-2, 1-18, MR 87a: 20011, Zbl. 592.20020

__1985__

**On some characters of GL**_{n}(2),*Pure Appl. Algebra*35 (1985), 247-252, MR 86d: 20017, Zbl. 553.20022.

__1986__

**Computing the irreducible characters of the group GL**_{6}(2),*Comp*. 46 (1986), no. 173, 301-319, MR 86k: 20005, Zbl. 619.20023.**On a certain permutation character of the general linear group,***Algebra*14 (1986), no.7, 1343-1355, MR 87k: 20072, Zbl. 603.20038.

__1987__

**Characters of the automorphism group of the group GL**,_{6}(2)*Algebra*108 (1987), no. 1, 256-268, MR 88c: 20017, Zbl. 615.20022.

__1989__

**On commutative non-associative algebras associated with a group of automorphisms of a 2-design,***Algebra*17 (1989), no. 8, 1885-1899, MR 90j: 17004, Zbl. 698.20002.

__1992__

**Decomposition numbers of certain linear groups,***Iranian Math. Soc.*18 (1992), no. 1, 9-20, MR 93c: 20078, Zbl. 767.20004.**The t-designs on 13 points with a primitive group of order 78 as a group of automorphism,***Inst. Math. Comput. Sci. Math. Ser.*5 (1992), no. 2, 171-180, MR 1207051, Zbl. 801.05011, (With M. Rajabi Tarkhorani and S. Abbasbandi).

__1994__

**An explicit isomorphism between a symplectic group and a symmetric group**,*Southeast Asian Bull. Math*. 18 (1994), no. 1 (1994) 19-25, MR 95c: 20066, Zbl. 805.20010, (With M. Rajabi Tarkhorani).

__1995__

**Irreducible complex characters of the full affine group,***J. Algebra Comput*. 5 (1995), no. 1, 1-5, MR 95m: 20006, Zbl. 836.20004, (With M. Rajabi Tarkhorani and A. Daneshkhah).**Computation of the character table of affine groups using Fischer matrices,***Groups ’93 Galway/St. Andrews, Vol. 1 (Galway, 1993),*131-137,*London Math. Soc. Lecture Note Ser.*211,*Cambridge**Press, Cambridge,*1995, MR1342786**(96j:20011),**(With A. Iranmanesh)**.****The irreducible character table of the automorphism group of group PSL**,_{5}(3)*Agebras Groups Geom*. 12 (1995), 339-325, MR 96i: 20009, Zbl. 848.20004, (With A.R. Ashrafi).

__1996__

**On a permutation character of the group GL**,_{n}(q)*Sci. Univ. Tehran Int. Ed*. 1 (1996), 69-75, MR 98m: 20051.**Construction of the character table of the hyperoctahedral group**,*Mat. Pura Appl*. 17 (1996), 71-82, MR 97f: 20013,Zbl. 1008.20500, (With A. Iranmanesh).**p- Steinberg characters of alternating and projective special linear groups**,*Algebra*181 (1996), 196-206, MR 97b: 20012, Zbl. 851.20008.

__1997__

**Computation of the complex characters of the group Aut(GL**_{7}(2)),*Korean J. Comput. Appl. Math*. 4 (1997), no. 1, 193-210, MR 97m: 20019, Zbl. 916.20005, (With Z. Mostaghim).

__1998__

**Some Conjugacy classes in groups associated with the general linear groups,***Algebras Groups Geom*. 15 (1998), 183-199, MR 2000b: 20058,Zbl. 0995.20027.**Affine subgroups of the classical groups and their character degrees**,*Sci. I. R. Iran*9 (1998), no. 2, 181-186, MR 2000g: 20096.**On the dimensions of cyclic symmetry classes of tensors**,*Algebra*205 (1998), 317-325, MR 99g: 15040, Zbl. 924.20005, (With M.R. Pournaki).

__1999__

**H**_{v}-rings of fractions,*J. Pure Appl. Math*. 5 (1999), 25-34, MR 2000j: 16077, (With B. Davvaz).**Dual properties in table algebras,***J. Pure Appl. Math.*6 (1999), 73-80, MR 2002c: 20022, Zbl. 0964.20004, (With A. Rahnamaei Barghi).**Composition series in C-algebras,***Algebra Colloq*. 6 (1999), no. 2, 125-132, MR 1805731, Zbl. 1019.20003, (With A. Rahnamaei Barghi).**Equivalence classes of matrices in GL**_{2}(q) and SL_{2}(q),*Korean J. Comput. Appl. Math*. 6 (1999), no. 2, 331-344, MR 2000e: 20074, Zbl. 929.20038, (With F. Nowroozi Larki).**Orthogonal basis of the symmetry classes of tensors associated with the direct product of permutation groups,***Pure Math. Appl*. 10 (1999), no. 3, 241-248, MR 2001f: 15030, Zbl. 0954.20011, (With N.S. Poursalavati).

__2000__

**Towards a clsassification of integral table algebras of degree five**,*Beiträge Algebra. Geom*. 41 (2000), no. 1, 33-47, MR 2002b: 20018, Zbl. 0964.20005, (With A. Rahnamaei Barghi).**On the orthogonal basis of the symmetry classes of tensors associated with the dicyclic group**,*Linear and Multilinear Algebra*47 (2000), 137-149, MR 2001a: 20025, Zbl. 0964.20006, (With M.R. Pournaki).**Computation of the dimensions of symmetry classes of tensors associated with the finite two dimensional projective special linear group,***Algebra Engrg. Comm. Comput*. 10 (2000), no.3, 237-250, MR 2001i: 20102, (With M.R. Pournaki).**The character table of the group GL**_{2}(q) when extended by an automorphism of order two,*Korean J. Comput. Appl. Math.*7 (2000), no. 3, 643-654, MR 2002g:20013,Zbl. 0979.20009, (With F. Nowroozi Larki).**A characterization of some finite groups by their elements order,***Algebra Colloq*. 7 (2000), no.4, 467-476, MR 2002i:20023, Zbl. 0969.20010, (With A.R. Moghaddamfar).**(2,p,q)-generations of the Conway’s group Co**_{1 },*Kumamoto**Math*. 13 (2000), 1-20, MR 2001e: 20016, Zbl. 949.20012,**(**With A.R. Ashrafi).**Non-vanishing and orthogonal basis of symmetry classes of tensors,***Southeast Asian Bull. Math*. 24 (2000), no. 4, 525-531, MR 2001j: 15017, Zbl. 0979.20015, (With M.R. Pournaki).**On some permutation character of the finite symplectic group,***Hadronic J*. 23 (2000), no. 4, 425-438, MR 2001k: 20022, Zbl. 1009.20015.**Some results on the orthogonal basis of a symmetry class of tensors,***Pure Math. Appl*. 11 (2000), no. 1, 33-41, MR 2002a: 20018, Zbl. 0973.20009, (With N.S. Poursalavati).**A characterization of groups related to the linear groups PSL(n,2), n= 5,6,7,8,***Pure Math. Appl*. 11 (2000), no. 4, 629-637, MR 2002m:20040, Zbl. 1017.20006, (With A.R. Moghaddamfar).**A note on Cayley-Hamilton theorem for generalized matrix function,***Pure Math. Appl*. 11 (2000), no. 4, 553-557, MR 2002j:15037, Zbl. 0994.15032, (With K. Mallahi and M.R. Pournaki).

__2001__

**Charaterization of the groups PSL**,_{5}(2), PSL_{6}(2) and PSL_{7}(2)*Algebra*29 (2001), no. 1, 465-475, MR 2002c:20033, Zbl. 0989.20018. Corrigendum:*Comm. Algebra*31 (2003), no. 9, 4651-4633, MR 2004e:20037, (With A. R. Moghaddamfar).**The rational character table and quasi-permutation representations of the group PGL(2,q),***J. Pure Appl. Math.*11 (2001), 19-28, MR 2004g:20019, (With H. Behravesh, A. Daneshkhah, M. Ghrobany).**Quasi-permutation representation of the group GL**_{2}(q),*Algebra*243 (2001), 142-167, MR 2002g:20027, Zbl. 1014.20003, (With M. Ghorbany, A. Daneshkhah and H. Behravesh).**A quantitative characterization of the alternating group A**,_{p}*Southwest China Normal University*26 (2001), no. 2, 125-128, MR 2002b:20020, (With A.R. Moghaddamfar).**Factorization of groups involving symmetric and alternating groups,***J. Math. Math. Sci*. 27 (2001), no. 3, 161-167, MR 2002i:20032, Zbl. 01751236, (With G. R. Rezaeezadeh).**(p,q,r)-generations of the Conways’ group Co**,_{1}for odd p*Kumamoto**Math*. 14 (2001), 1-20, MR 2002d:20020, Zbl. 0980.20007, (With A.R. Ashrafi and G.A. Moghani).**On the existence of the orthogonal basis of a symmetry classes of tensors associated with certain groups,***SUT J. Math*. 37 (2001), no. 1, 1-17, MR 2002j:15038, Zbl. 0999.20006, (With N.S. Poursalavati).**A characterization of some symmetric and linear groups,***Algebras Groups Geom*. 18 (2001), no.3, 281-299, MR 2002j:20045, (With A.R. Moghaddamfar and A.R. Zokayi).**On the set of order elements of G=PSL(3,q) when extended by a subgroup of Out(G),***Algebras Groups Geom*. 18 (2001), no. 4, 473-484, MR 2002j:20033, (With N.S. Karamzadeh).

__2002__

**Quasi-permutation representation of the groups SU(3,q**^{2}), and PSU(3,q^{2}),*Southeast Asian Bull. Math*. 26 (2002), 395-406, MR 2004k:20018, Zbl. 1033.20010, (With M. Ghorbany).**Quasi-Permutation representation of the groups SL(3,q) and PSL(3,q),***Iran**. J. Sci. Technol. Trans. A Sci*. 26 (2002), no. A1, 145-154, Zbl. 1006.20003, (With M. Ghorbani)*.***A characterization of groups PSL(3,q) by their element orders for certain q,***Korean J. Comput. Appl. Math*. 9 (2002), no. 2, 409-421, MR 2003a:20024, Zbl. 1008.20010, (With N.S. Karamzadeh).**Product of the symmetric group with the alternating group on seven letters**,*Quasigroups Related Systems*9 (2002), 33-44, MR 2003j:20031, Zbl. 1036.20025.

__2003__

**Groups which are the product of S**_{6}and a simple group,*Algebra Colloq*. 10 (2003), no. 2, 195-204, MR 2004e:20035, Zbl 1038-20013, (With G.R. Rezaeezadeh and G.L. Walls).**(p,q,r)-generations of the sporatic group O’N***,**Groups St. Andrews 2001 in Oxford. Vol. I,*101–109,*London**Soc. Lecture Note Ser.*304*, Cambridge Univ. Press, Cambridge,*2003, MR 2004m:20034, Zbl 1047.20012, (With A.R. Ashrafi and G.A. Moghani).**(p,q,r)-generation and nx-complementary generations of the sporadic group Ly**,*Kumamoto J. Math*. 16 (2003), 13-25, MR 2004e:20023, Zbl 1046.20018, (With A.R. Ashrafi and G.A. Moghani).**Classification of minimal PN-groups,***JP journal of Algebra Number Theory Appl.*3 (2003), no. 3, 211-218, MR 2004g:20024, (With A.R. Moghaddamfar and A.R. Zokayi).**Generating pairs for the sporadic group Ru,***Appl. Math. Comput.*12 (2003), no. 1-2, 143-154, MR 2004b:20026, Zbl 1063.20034, (With A.R. Ashrafi).**On some permutation modules of the general linear groups,***Algebras Groups Geom.*20 (2003), no. 2, 125-140, MR 2004f:20019, Zbl 1046.20033, (With M. Khademi).

__2004__

**nx-complementary generations of the sporadic group He**,*J. Pure Appl. Math.*16 (2004), 145-154, MR 2005g:20030, (With G.A. Moghani).**nx-complementary generations of the sporadic group O’N,***Southeast Asian Bull. Math.*28 (2004), no. 6, 1011-1019, MR 2005i:20020, (With A.R. Ashrafi and G.A. Moghani).**On characterizability of the authomorphism groups by their element orders,***Acta Math. Sin. (Engl. Ser.) 20 (2004), no. 4, 653-662, MR 2005g:20043,*Zbl 1071.20029 (With A.R. Moghaddamfar and A.R. Zokayi)*.***Finite groups which factors as product of an alternating group and a simple group,***Algebra*32 (2004), no. 2, 637-647.**A recognition of simple groups PSL(3,q) by their element orders,***Acta Math. Sci. Ser. B Engl. Ed.*24 (2004), no. 1, 45-51, MR 2036061, Zbl 1064.20016, (With A.R. Moghaddamfar and A.R.Zokayi).**A family of finite simple groups which are 2-recognizable by their elements order,***Algebra*32 (2004), no. 11, 4507-4513, MR 2005g:20029, (With A.R. Moghaddamfar).**Special representations of the group SP(4,q) with minimal degrees**,*Math. Hungar.*102 (2004), no. 4, 287-296, Zbl 1049.20006, (With M. Ghorbany).**Frobenius Q-groups,***Math. (Basel)*83 (2004), no. 2, 102-105, MR 2005h:20007, (With H. Sharifi).**nx-complementary generations of the sporadic group Co**_{1},*Acta Math. Vietnam.*29 (2004), no. 1, 57-75, MR 2005a:20026, Zbl 1074.20010, (With A.R. Ashrafi and G.A. Moghani).**Factorizable non-simple groups which factor as product of the linear fractional groups and the symmetric groups,***Southeast Asian Bull. Math.*28 (2004), 611-614, MR 2005c:20038, Zbl 1065.20033, (With A. Mahmiani).

__2005__

**Finite groups which are product of L**_{2}(8) or L_{2}(7) with a symmetric group,*Algebra Colloq.*12 (2005), no. 1, 1-10, MR**2005k:20049,**Zbl 1065.20034, (With A.R. Moghaddamfar).**A characterization of finite simple groups by the degrees of vertices of their prime graphs,***Algebra Colloq.*12 (2005), no. 3, 431-442, MR**2006a:20028,**Zbl 1072.20015, (With A.R. Moghaddamfar and A. R. Zokayi).**Computing the full non-rigid group of tetranitrocubane and octanitrocubane using wreath product**,*MATCH Commun. Math. Comput. Chem.*54 (2005), no. 1, 53-74, MR**2005m:92069,**(With Y. Farjami and A. R. Ashrafi).**Order of elements in the groups related to the general linear group**,*Finite Fields Appl*. 11 (2005), no. 4, 738-747.**The non-rigid group of tetraamine platinum (II) as a wreath product,***Chem. Soc. Jpn.*78 (2005), no. 6, 996-1000, (With Y. Farjami and A. R. Ashrafi).**A quantitative characterization of the linear group in dimension eleven over the binary field,***Algebras, Groups Geom.*22 (2005), no. 1, 37-48, MR**2006a:20025,**(With Y. Farjami).**Symmetries of weighted complete graph of tetranitrocubane and octanitrocubane**,*MATCH Commun. Math. Comput. Chem.*54 (2005), no. 2, 331-340, (With Y. Farjami and A. R. Ashrafi).**Computing the full non-rigid group of tetra-tert-butyltetrahedrane using wreath product,***J. Quantum Chem.*105 (2005), no. 5, 485-492, (With A. R. Ashrafi and A. Darafsheh).**Some results on the characterizability of the linear groups over the binary field**,*Math. Univ. Carolin.*46 (2005), no. 4, 589-600, (With Y. Farjami, M. Khademi and A. R. Moghaddamfar).**Group theory for tetramethylethylene**,*Acta Chim. Slov.*52 (2005), no. 3, 282-287, (With A. R. Ashrafi and A. Darafsheh).**Factorization of simple groups involving the alternating group**,*Quasigroups Related Systems*13 (2005), no. 2, 203-211.

__2006__

**The full non-rigid group of hexamethylbenzene using wreath product**,*Phys. Lett.*421 (2006), no. 4-6, 566-570. (With A. R. Ashrafi and A. Darafsheh).**Designs from the group PSL**,_{2}(q), q even*Codes Cryptogr.*39 (2006), no. 3, 311-316.**Relation between Frobenius and 2-Frobenius groups with order components of the finite groups,***Appl. Math. Comput.*21 (2006), no. 1-2, 437-450. (With N. S. Karamzadeh and A. R. Moghaddamfar).**On groups with the same set of order elements,**Math. Forum 1 (2006), no. 25-28, 1325-1334. (With Y. Farjami and A. Sadrudini).**The characterization of PGL(2,p) for some p by their element orders,***Math. Forum*1 (2006), no. 37-40, 1833-1840. (With A.R. Moghaddamfar and A.R.Zokayi).**Computation of the character table for p-Xylene,***MATCH Commun. Math. Comput. Chem.*56 (2006), no. 2, 271-278. (With A. Darafsheh).

__2007__

**Non-rigid group theory for 1,3,5-trimethylbenzene**,*J. Quantum Chem.*107 (2007), no. 2, 340-344. (With A. Darafsheh and A. R. Ashrafi).**Full non-rigid group of sponge and pina,***Math. Chem.*41 (2007), no. 3, 315-326. (With Y. Farjami, A. R. Ashrafi and M. Hamadanian).43 (2007), no. 1, 31-37.**A characterization property of the simple group PSL**Math. (Brno),_{4}(5) by the set of its element orders,*(With Y. Farjami and A. Sadrudini).***The simple group L**,_{12}(2) is characterizable by its element orders*J. Pure Appl. Math.*21 (2007), 27-34. (With Y. Farjami, M. Khademi).**A quantitative characterization of the linear group L**_{p+1}(2) where p is a prime number,*Kumamoto**Math*. 20 (2007), 33-50. (With A. Mahmiani).**Some results on Q-groups,***Slovaca*57 (2007), no. 3, 219-224. (With H. Sharifi).22 (2007), no. 1, 83-91.**Sylow 2-subgroup of solvable Q-groups,**Extracta Math.*(With H. Sharifi).***Non-rigid group theory for 2,3-dimethylbutane,***MATCH Commun. Math. Comput. Chem.*58 (2007), no. 1, 47-56. (With A. R. Ashrafi and A. Darafsheh).10 (2007), no. 5, 637-653**Calculating the set of orders of elements in the finite linear groups,**Discrete Math. Sci. Cryptogr.*. (With Y. Farjami).***Simple groups which are products of the linear fractional group with the alternating or the symmetric group,***Hadronic J.*30 (2007), no. 1, 109-122. (With M. Khademi).**Involutions in Q-groups**,*Balkanica*21 (2007), no. 3-4, 399-405.*(With H. Sharifi).*

__2008__

**On non-isomorphic groups with the same set of order components,***Korean Math. Soc.*45 (2008), no. 1, 137-150.**The symmetry group of non-rigid tetramethylsilane**,*J. Quantum Chem.*108 (2008), no. 3, 440-446.(With A. Ashrafi and A. Darafsheh).**Some designs related to group actions**,*Combin*. 86 (2008), no. 1, 65-75. (With A. R. Ashrafi and M. Khademi).**Recognition of the linear groups over the binary field by the set of their element orders**,*Acta Math. Vietnam*. 33 (2008), no. 1, 27-38. (With Y. Farjami and A. Mahmiani).**On recognition property of some projective special linear groups by their element orders**,*Math.*75 (2008), 125-137.(With N. S. Karamzadeh)**A characterization of the simple group PSL**,_{5}(5) by the set of its element orders*Siberian Math. J.*49 (2008), no. 3, 418-422. (With A. Sadrudini).**Pure characterization of the projective special linear groups,***J. Pure Apll. Math.*23 (2008), 229-244.**Characterizablity of the group**^{2}D_{p}(3) by its order components, where p≥5 is a prime number not of the form 2^{m}+1,*Acta Math. Sin. (Engl. Ser.)*24 (2008), no. 7, 1117-1126.**On the ordinary irreducible characters of the Heisenberg group and a similar special group,**Algebra Colloq. 15 (2008), no. 3, 471-478. (With M. Misaghian).**Markaracter table and Q-Conjugacy character table for the non-rigid group 1,3,5-trimethylbenzene,***Chem. Soc. Jpn.*81 (2008), no. 8, 979-982. (With G. A. Moghani).**On the recognition of the simple groups L**_{7}(3) and L_{8}(3) by the spectrum,*J. Algebra Comput*. 18 (2008), no. 5, 925-933.**Group theory for tetramethylethylene, II**,*Acta Chim. Slov.*55 (2008), no. 3, 602-607. (With A. Moghani and S. Naghdi).**The maximum element order in the groups related to the linear groups which is a multiple of the defining characteristic**,*Finite Fields Appl.*14 (2008), no. 4, 992-1001.**Group theory for tetramethylsilane, application in combinatorial isomer enumeration**,*J. Chem. Model.*1 (2008), no. 3-4, 435-444. (With A. Moghani, M. Karami, A. Zaeembashi and S. Naghdi).. 18 (2008), no. 4-5, 351-362.**Towards a characterization of the linear groups over the binary field,**J. Math. Game Theory Algebra*(With Y. Farjami, N. S. Karamzadeh and M. Khademi).*

__2009__

**Groups with the same non-commuting graphs**,*Discrete Appl. Math.*157 (2009), no.4, 833-837.**Some designs and codes invariant under the groups S**_{9}and A_{8},*Codes Cryptogr.*51 (2009), no. 2, 211-223. (With A. Iranmanesh and R. Kahkeshani).**Q-conjugacy character table of the non rigid group of 2,3-dimethylbutane**,*Serb. Chem. Soc.*74 (2009), no. 1, 45-52. (With A. Moghani)**2-Frobenius Q-groups**,*Indian J. Pure Appl. Math.*40 (2009), no. 1, 22-29. (With A. Iranmanesh and S. A. Moosavi).**The full non-rigid group of 1,3,5-trimethyl-2,4,6-trinitrobenzene using wreath product,***Asian J. Chem.*21 (2009), no. 42, 3631-3636. (With A. Ashrafi and A. Darafsheh).**Products of the symmetric or alternating groups with L**_{3}(3),*Quasigroups Related Systems*17 (2009), no. 1, 11-18. (With A. Mahmiani).70 (2009), 235-245. (With A. R. Ashrafi and M. Khademi).**On designs constructed by group actions,**Combin. Math. Combin. Comput.**A characterization of the group**^{2}D_{n}(2), where n=2m+1≥**5,***Appl. Math. Comput.*31 (2009), no. 1-2, 447-457. (With A. Mahmiani).**Self-dual designs and their binary codes obtained from the group PSL**_{2}(13),*Math. Inform.*18 (2009), no. 2, 172-181. (With R. Kahkeshani and A. Iranmanesh).**Designs from the groups PSL**,_{2}(q) for certain q*Math.,*32 (2009), no. 3, 297-306. (With A. Iranmanesh and R. Kahkeshani)**Some another remarks on the generalization of Bernoulli and Euler numbers,***Scientia Magna*5 (2009), no. 3, 118-129. (With H. Jolany)

__2010__

**Computation of topological indices of some graphs**,*Acta Appl. Math.*110 (2010), no. 3, 1225-1235.**On recognition property of the projective special linear group over GF(3)**,*Acta Math. Sin. (Engl. Ser.)*26 (2010), no. 3, 477-488.**Characterization of the groups D**,_{p+1}(2) and D_{p+1}(3) using order components*Korean Math. Soc.*47 (2010), no. 2, 311-329.**Groups whose non-linear irreducible characters are rational valued,***Math. (Basel)*94 (2010), no. 5, 411-418. (With A. Iranmanesh and S. A. Moosavi)**A characterization of the groups PSU(4,4) and PSL(4,4) by non-commuting graph**,*Math.*81 (2010), 165-185. (With A. Davoodi Monfared)**About a decomposition of the group Z**_{pq}where p and q are odd primes,*European J. Combin. 31 (2010), 1880-1886.*(With I. Cristea).**A decomposition of the cyclic group of order p and p² where p is a prime number**,*Intell. Fuzzy Syst.*21 (2010), 255-259. (With I. Cristea).**Full non-rigid group theory for hexamethylethane**,*Asian J. Chem.*21 (2010), no. 3, 1966-1972. (With G. A. Moghani)**.****Some Results on non-commuting graph of a finite group**,*J. Pure Apll. Math.*27 (2010), 107-118. (With H. Bigdely, A. Bahrami and A. Davoodi Monfared)**Generalizations of poly-Bernoulli numbers and polynomials**,*J. Math. Comb.*, 2 (2010), 7-14. (With H. Jolany and A. R. Eizadi)

__2011__

**Characterization of A**,_{16}by non-commuting graph*Math. J.*62 (2011), no 11, 1673-1679. (With A. Davoodi Monfared)**The Wiener, Szeged, and PI indices of a denderimer nanostar,***Comput. Theor. Nanosci.*8 (2011), no. 2, 220-223. (With M. H. Khalifeh and H. Jolany)**Computing the Wiener index of a phenylenic pattern,***Nanotub. Carbon Nanostruct.*19 (2011), no. 8, 749-752. (With H. Jolany and M. H. Khalifeh)**Calculation of the Wiener, Szeged, and PI indices of a certain nanostar dendrimer,***Combin.*100 (2011), 289-298. (With M. H. Khalifeh)**The Wiener, Szeged and PI-indices of a phenylazomethine dendrimer,***J. Nanomater. Biostruct.*6 (2011), no. 4, 1545-1549. (With M. Golriz and M. H. Khalifeh)**A rational property of the irreducible characters of a finite group,***Groups St. Andrews 2009 in Bath. Vol. 1,*224-227,*London Math. Soc. Lecture Note Ser.*387*, Cambridge Univ. Press, Cambridge,*(With A. Iranmanesh and S. A. Moosavi)**Topological indices of a hexagonal net,***Graph Theory Notes N. Y.*60 (2011), 23-28. (With M. Golriz and M. H. Khalifeh)**Topological indices of the double odd graph 2O**_{k},*Math. Inform.*20 (2011), no, 2, 163-170. (With R. Mohammadyari)

__2012__

**Recognition of the groups****L**_{5}(4) and U_{4}(4) by prime graph,*Math. J.*64 (2012), no. 2, 238-246. (With P. Nosratpour).**Topological indices of the Kneser graph KG**_{n,k},*Filomat,*26 (2012), no. 4, 665-672. (With R. Mohammadyari).**A characterization of the group A**_{p+3}**by its non-commuting graph,***Electron. J. Algebra*11 (2012), 160-164. (With P. Yousefzadeh).**Some results on characterization of finite groups by non-commuting graph,***Combin.*1 (2012), no. 2, 41-48. (With P. Yousefzadeh).**Recognition of the group G**,_{2}(5) by the prime graph*Linear and Topological Algebra,*1 (2012), no. 2, 105-109. (With P. Nosratpour**).****OD-characterization of the simple groups related to U(3,11).***Linear Topological Algebra*, 1 (2012), no. 1, 27-32. (With P. Nosratpour**).**

__2013__

**On products of irreducible characters and products of cojugacy classes in finite groups,***Algebra*41 (2013), 2879-2883. (With S. M. Robati)**A characterization of the group A**,_{22}by non-commuting graph*Korean Math. Soc.*50 (2013), no. 1, 117-123. (With P. Yousefzadeh).**Characterization of the groups G**,_{2}(q) for 2<q≡-1(mod3) by order components*Siberian Math. J.*, 54 (2013), no. 5, 883-893. (With P. Nosratpour)**Normal edge-transitive Cayley graphs on non abelian groups of order 4p, where p is a prime number,***Science China Math.*56 (2013), no.1, 213-219. (With A. Assari)**The hyper-Wiener index of one-pentagonal carbon nanocone**,*Current Nanoscience*, 9 (2013), 557-560. (With H. Joolany and M. H. Khalifeh).**Products of conjugacy classes and products of irreducible characters in finite groups,***Turkish J. Math.*37 (2013), 607-616. (With S. M. Robati).**Remarks on the Wiener index of unicyclic graph,***Appl. Math. Comput*. 41 (2013), no. 1-2, 49-59. (With R. Nasiri, H. Yousefi-Azari, and A. R. Ashrafi).**Characterization of the group D**,_{p}(5) by order components, where p≥5 is a prime number*Southeast Asian Bull. Math.***37**(2013), no. 6, 867-885 (With M. Khademi).**Characterization of the symmetric group by its non-commuting graph**,*J. Group Theory,*2 (2013), no. 2, 47-72. (With P. Yousefzadeh).**On maximal and minimal linear matching property**,*Algebra Discrete Math.*15 (2013), no. 2, 174-178. (With M. Aliabadi).**OD-characterization of almost simple groups related to U**,_{3}(17)*Quasigroups and Related Systems*, 21 (2013), 49-58. (With G. Rezaeezadeh, M. Sajjadi, and M. Bibak).**OD-characterization of almost simple groups related to**,^{2}E_{6}(2)*Advances in Algebra*, 6 (2013), no. 1, 45-54. (With G. Rezaeezadeh, M. Sajjadi, and M. Bibak).**The PI index of polyomino chains of 2k-cycles**,*Creative Math. Inform.*22 (2013), no. 1, 81-96. (With R. Mohammadyari).**Non-factorizable groups**,*J. Pure Appl. Math.*31 (2013), 43-48. (With G. R.**Rezaeezadeh and M. R. Dehghan Koruki).**

__2014__

**Powers of irreducible characters and conjugacy classes in finite groups**,*Algebra Appl.,*13 (2014), no. 8, 1450067. (With S. M. Robati**).****OD-characterization of all finite nonabelian simple groups with orders having prime divisors at most 13**,*Siberian Math. J.,*55 (2014), no. 4, 658-666. (With P. Nosratpour)**.****OD-Characterization of almost simple groups related to L**,_{3}(25)*Iranian Math. Soc.*40 (2014), no. 3, 765-790. (With G. R.**Rezaeezadeh, M. Sajjadi, and M. Bibak).****On OD-characterizability of a certain alternating and symmetric group**,*J. Pure Appl. Math.*32 (2014), 7-14. (With A. Mahmiani**).****Topological indices of the bipartite Kneser graph H**,_{n,k}*Filomat*, 18 (2014), no. 10, 1989-1996 (with R. Mohammadyari).**Powers of conjugacy classes in certain p-groups**,*J. Math. Game Theory Algebra*, 22 (2014), no. 3, 241-251. (With S. M. Robati)

__2015__

**On maximal subsets of pairwise non-commuting elements in finite groups**,*Bulletin Austral Math. Soc.*, 92 (2015), 380-389 (with M. Ghorbani and S. K. Prajapati)**OD-characterization of almost simple groups related to D(4,4)**,*J. Math. Sci. and Informatics*, 1 (2015), no.1, 23-34. (with G. R. Rezaeezadeh, M. Bibak and M. Sajadi)**Conditions on the Edges and Vertices of Non-commuting Graph**,*Jurnal Teknologi*74 (2015), no. 1, 73-76. (with M Jahandideh, N. H. Sarmin, S. M. S. Omer)

__2016__

**Finite simple groups which are the products of symmetric or alternating groups with L(3,4)**,*J. Group Theory*, 5 (2016), no. 1. (with G. R. Rezaeezadeh and S. E. Mirdamadi)**Normal edge-transitive Cayley graphs on certain groups of order 4n and 8n**,*Quasigroups and Related Systems*, 24 (2016), 17-23. (with M. Abdollahi)**On semirational Frobenius groups**,*J. Alg. Appl*., 15 (2016), no. 2, 1650033 (with S. H. Alavi and A. Daneshkhah)**On the size of maximal subsets of pairwise non-commuting elements in a certain special p-group**,*Combin. and Number Theory*, 1 (2016), no. 1, 65-69 (with M. Ghorbani and S. K. Prajapati)

__2017__

**Characterization of the group G**,_{2}(5) by the prime graph*Ukrainian Math. Journal*, 68 (2017), no. 8, 1308-1313. (with P. Nosratpour)**The topological indices of some dendrimer graph**,*Iranian Journal of Mathematical Chemistry*, 8 (2017), no. 1, 25-35. (With M. Namdari and S. Shokrolahi)**Computing Szeged index of graphs on triples***, Iranian Journal of Mathematical Chemistry,*8(2017), 175-180. (with R.Modabernia and N.Namdari).**Tetravalent normal edge-transitive Cayley graphs on a certain group of order 6n**,*Turkish journal of Math.*41 (2017), no. 5,1354-1359. (with M.Yaghoubian).**Tetravalent normal edge-transitive Cayley graphs on the modular group**,*Turkish journal of Math*. 41 (2017), no. 5, 1308-1312 (with H. Sharifi).**On connected tetravalent Cayley graphs of a non-abelian group of order 3p2**,*Algebra Colloq*. 24 (2017), no. 3, 467-480 (with M. Abdollahi).**Irreducible characters of p-groups of order ≤**^{p5}*, Algebras and Representation Theory,*20 (2017), 1289-1303 (With S. K. Prajapati and M. Ghorbani).**Characterization of almost simple groups related to U-3(11) with degree pattern***, Southeast Asian Bull. Math.*41(3) (2017), 457-464 (P. Nosratpour).**Computing Szeged index of graphs**on triples,*Iranian J. Math. Chem*., 8 (2017), no. 2, 175-180 (With R.Modabernia and M.Namdari)**Zagreb, multiplicative Zagreb indices and co-indices of graphs**,*J. Industrial Math*., 9 (2017), no. 1, 47-57 (with V.Ahmadi and J.Hashemi).

__2018__

**Zagreb, multiplicative Zagreb indices and coindices of NC**_{n}(k) and Ca_{3}(C_{6}) graphs*, Bol. Soc. Paran. Mat.*36 (2018), no. 2, 9-15. (with V.Ahmadi)**NSE characterization of the Chevalley group G_2(4)**,*J. Math*. (2018) 7:21-26 (with M.Jahandideh)**Zagreb, multiplicative Zagreb indices and co-indices of NC_n(k) and Ca_3(C_6) graphs**, Bol*. Soc. Para. Mat*., (3s.) 36 (2018), no. 2, 9-15 (with V. Ahmadi).**On G-graphs of certain finite groups, Involve**,*A Journal of Mathematics*, 11 (2018), no. 3, 463-479 (with S. Madady Moghadam)**On sum of Sylow numbers of finite groups**,*Ir. Math. Soc.*(with A. Khalili). To appear.**On prime graph of a finite group**,*Miskolc Math. Notes*(with M. Ghorbani and Pedram Yousefzadeh). To appear.**Cayley graphs of a group of order 6_n**,*Ars Combinatoria*, 136 (2018) 365-382 (with M. Yaghoubian)**The influence of order and conjugacy class length on the structure of finite groups**,*Hokaido Math. J.*, vol. 47, no. 1. (2018) 25-32 (with A. Khalili and R. Mohammadyari)**Metabelian Q_1-groups**,*Competes Rendus Math.*, vol. 356, Issue 2, (2018) 138-140 (with M. Rezakhanlou)

** **

Papers in Persian Language

**Finite simple groups**,*Payk-i-Riazi*, Vol.2, No.3, (1366) (1987) 229-241.**Some finite geometries**,*Payk-i-Riazi*, Vol.2, No.4, (1366) (1987) 371-382.**The search for finite simple groups**,*Farhang va Andishe Riazi*, No.6 (1365) (1986) 21-59.**Groups and Symmetry**,*Roshd va Amouzesh Riazi*, No.25 (1369) (1990) 4-9.**Mathieu groups**,*Nashr-i-Riazi*, No.1 and 2 (1369) (1990) 13-22.**A new proof of Morley’s theorem**,*Farhang va Andishe Riazi*, No. 41 (1387) (2008) 43-52.**A curious connection between Fermat numbers and finite groups,***Nashr-i-Riazi*, No. 2 (1388) (2009) 50-54.**Powers of irreducible characters in finite groups,***Advanced Math. Modeling*, 2 (2011), no. 1, 19-27. (With E. Zahedi).

Editor of Proceedings

**Proceedings of the 8th Algebra Seminar**, University of Tehran, December 17-18, 1996, Tehran, Iran.**Proceedings of the 9th Algebra Seminar**, Mazandaran University, November 18-19, 1997, Babolsar, Iran.**Proceedings of the 10th Algebra Seminar**, Kurdestan University, 1998, Sannandaj, Iran.**Proceedings of the International conference on mathematics for all**, Kurdestan University, July 10-11, 2000, Sanandaj, Iran.

Books authored in Persian language

**An introduction to group theory**,*Basic Science Press*, First edition: 1369 (1990), Second edition: 1377 (1998), Third Edition with addition:*Tehran University Press*1387 (2009).

**Linear groups**,*Tehran University Press*, 1377 (1998), Second Edition: 1387 (2008).

**Algebra, vol. 1: Groups**,*Tehran University Press*, 1386 (2007). Second Edition: 1389 (2010). Third Edition 1393 (2014).

**Algebra, vol. 2: Rings, Fields and Galois Theory**,*Tehran University Press*, 1386 (2007). Second Edition: 1389 (2010). Third Edition 1393 (2014).

**Algebra, vol. 3: Modules and Representation Theory**,*Tehran**University**Press*, 1386 (2007). Second Edition: 1389 (2010). Third Edition 1393 (2014).

Books translated into Persian language

**Representations and characters of groups**, G. James and M. Liebeck,*University Press*, 1378 (1999).

**Introduction to the Galois correspondence,**H. Fenrick,*University Press*, 1387 (2008).

**Algebraic structures,**F. Gardiner,*University Press***,**1387 (2008).

**Linear Algebra**, J. H. Kwak and S. Hong,*University Press*, 1393 (2015). (With N.S.Karamzadeh).

Graduated Ph.D. students

**.M.Rajabi Tarkhorani**, Irreducible characters of SL5(3), University of Tehran, 1372 (1993).**.A.Iranmanesh**, Irreducible characters of the affine groups, University of Tarbiat Modarres, 1374 (1995).**.A.Daneshkhah**, The irreducible character table of the group GL7(2), University of Tehran, 1374 (1995).**.A. R. Ashrafi**, Irreducible character table of the group Aut(SL5(3)), University of Tehran, 1374 (1995).**.Z. Mostaghim**, Irreducible characters of the group Aut(GL7(2)), University of Tehran, 1375 (1996).**.B. Davvaz**, On algebraic hyperstructures, University of Tarbiat Modarres, 1377 (1998).**.A. Rahnamaei Barghi**, C- algebras and table algebras, University of Tarbiat Modarres, 1377 (1998).**.F. Nouroozi Larki**, Equivalence classes of matrices in GL2(q), SL2(q) and GL3(q) and related topics, University of Tehran, 1377 (1998).**.M. R. Pournaki**, Symmerty classes of tensors associated with certain group, University of Tehran, 1378 (2000).**.N. S. Poursalavati**, Orthogonal basis of symmertized tensor spaces, University of Tehran, 1379 (2001).**.A. R. Moghaddamafar**, Characterization of finite groups by their elements orders, Iran University of Science and Technology, 1379 (2001).**.G. R. Rezaeezadeh**, Product of groups, University of Tarbiat Modarres, 1379 (2001).**.M. Ghorbany Hashtchin**, Permutation representations and quasi-permutation representations of the linear groups, Iran University of Science and Technology, 1381 (2002).**.G. A. Moghani**, (p,q,r)-and nx-complementary generations of Conway group Co1, Iran University of Science and Technology, 1381 (2002).**.N. S. Karamzadeh**, A quantitative characterization of the projective special linear group in dimension 3, University of Tehran, 1382 (2003).**.M. Khademi**, The character table of the group L8(2), University of Tehran, 1383 (2004).**.H. Sharifi**, Some results on Q-groups, University of Tehran, 1386 (2007).**.A. Sadrudini**, On characterization of simple groups, University of Tarbiat Modarres, 1386 (2007).**.M. Davoudi**, Non-commuting graphs of groups, Science and Research branch, Azad University, Tehran, 1388 (2010).**.S. A. Mousavi**, Q-groups and related topics, University of Tarbiat Modarres, 1389 (2010).**.R. Mohammadyari**, Calculation of topological indices in graphs, Azad University, 1391 (2012).**.A. Assari**, Automorphism group of Cayley graphs, University of Tehran, 2012.**.P. Nosratpour**, Recognition of finite groups, Azad University, Science and Research Branch, Tehran, Iran.**.R. Kahkeshani**, Construction of designs and codes using groups action, University of Tarbiat Modares, Tehran, Iran.**.S. M. Robati**, Products of conjugacy classes and products of irreducible characters in finite groups, University of Tehran, 1391 (2012).**.M. R. Dehghan Koraki**, Groups and factorizabiliy, University of Shahr-e-Kord, 2013.**.M. Bibak**, Characterization of groups related to the projective linear group in dimension 3 by their orders and the degrees of the vertices of their prime graph, University of Shahr-e-Kord, 2013.**.M. Sajadi**, Characterization of almost simple groups by order and the degrees of vertices of prime graph, University of Shahr-e-Kord, 2013.**.M. Yaghoubian**, Cayley graphs for certain groups, University of Tehran, 2016.**.S. Shokrollahi**, Calculation of topological indices of Cayley graphs and dendrimers, University of Shahid Chamran, Ahwaz, 2016.**.V. Ahmadi**, Zagreb indices and co-indices of graphs, University of Shahid Chamran, Ahwaz, 2016.**.M. Jahandideh**, Some properties of non-commuting graphs, University of Shahid Chamran, Ahwaz, 2016.**.M. Abdollahi**, Edge-transitive or normal Caley graphs of certain groups, University of Tehran, Tehran, 2017.**.R. Modabernia**, On Szeged polynomial of a graph, University of Shahid Chamran, Ahvaz, Iran, 2017.

Graduated M.Sc. Students

**.A. Aminpoor**, 2-transitive groups of degree less than 10, University of Ahwaz, 1359 (1980).**.B. Davvaz**, The simple groups 2G2(q), q = 32n+1, University of Tehran, 1369 (1990).**.A. Erfanian**, Growth sequence of groups, University of Tehran, 1370 (1991).**.Z. Mostaghim**, On Conway’s simple group, University of Tehran, 1370 (1991).**.T. Koochakpoor**, The first cohomology of some linear groups over fields of characteristic 2, University of Tehran, 1371 (1992).**.H. R. Navidi Ghaziani**, The automorphism group of block designs, University of Tehran, 1371 (1992).**.B. Mashayekhi Fard**, On the degrees of the irreducible characters of finite groups, University of Tehran, 1371 (1992).**.S. Kivanfar**, Character degree and derived lenght in p-groups, University of Tehran, 1371 (1992).**.A. Babakhani**, Code-Loops, Sharif University of Technology, 1371 (1992).**.A. A. Hasanzadeh**, Carter subgroups in projective special linear groups, Sharif University of Technology, 1371 (1992).**.M. Gholami**, Faithful irreducible characters with distinct degrees in p-groups, Sharif University of Technology, 1370 (1991).**.A. Azari**, 2- generator groups, Islamic Azad University, 1371 (1992).**.A. Iranmanesh**, Characters of certain groups associated with the symmetric groups, University of Tarbiat Modarres, 1370 (1991).**.H. Harizavi**, Product of l-transvections in symplectic groups, University of Tarbiat Modarres, 1371 (1993).**Tavakolli**, Commutators in alternating and symplectic groups, Sharif University of Technology, 1371 (1993).**.M. Hoseini Kolahroodi**, Fibonachi groups, Islamic Azad University, 1371 (1992).**.M. R. Hooshmand Asl**, Classification of B-groups, University of Tehran, 1373 (1994).**.V. Dabbaghian Abdoli**, Locally finite groups, University of Tehran, 1374 (1995).**.A. Azari**, Maximal subgroups of SL2(K) containing diagonal subgroups, University of Tehran, 1374 (1995).**.B. Atashi**, Groups which are the product of two simple groups, University of Tehran, 1375 (1996).**.A. G. Mahmiani**, Groups with sign structure and their anti automorphisms, University of Tehran, 1375 (1996).**.M. M . Mohammadi**, Maximal subgroups of PSP2n(F) containing root subgroups, University of Tehran, 1375 (1996).**.H. Andikfar**, Finite p-groups with isomorphic maximal subgroups, University of Tehran, 1376 (1997).**.M. Iranmanesh**, Co- finitary permutation groups, University of Tehran, 1377 (1998).**.O. Ahmadi Darvishvand**, Growth sequences in groups, University of Tehran, 1378 (1999).**.M. Jafari**, Rewritability in groups, University of Tehran, 1379 (2000).**.M. Mohammadi Jahat**, Finite groups with two conjugacy classes of the same order, University of Tehran, 1381 (2003).**.Z. Yazdanmehr**, Groups satisfying the condition (X,n), University of Tehran, 1383 (2004).**.M. Davoudi Monfared**, Elements of order two in finite groups, University of Tehran, 1385 (2006).**.A. Mousavi**, Q-groups and their structures, University of Tehran, 1385 (2006).**.H. Shahverdi Tarkhoran**i, The automorphism group of the classical Lie algebras, University of Tehran, 1385 (2006).**.H. Bigdely**, The non-commuting graph of a group, University of Tehran, 1385 (2006).**.P. Noori Oskooyi**, Covering groups with subgroups, University of Tehran, 1387 (2008).**.S. Modares Enshaei**, Some problems on Cayley graphs, University of Tehran, 1388 (2010).**.I. Derijani**, Permutation-like matrice gruop, University of Tehran, 1389 (2010).**.B. Hasanbaig**, Classical Hurwitz groups, University of Tehran, 1389 (2010).**.H. Jolani**, Thurston geometrization conjecture on 3-manifolds and orthogonal groups, University of Tehran, 1389 (2010).**.M. Kashefi**, On the sum of irreducible characters of finite groups, University of Tehran, 1389 (2010).**.H. Mohammadzadeh**, Characterization of finite groups with exactly one non linear character degree, University of Tehran, 1389 (2010).**.E. Zahedi**, Some problems in character theory of finite groups, University of Tehran, 1389 (2011).**.H. Olad**, A generalization of the M-groups, University of Tehran, 1390 (2011).**.R. Nasiri Gharghani**, Calculation of the Wiener index of graphs, University of Tehran, 1390 (2011).**.E. Aradmehr**, The graph related to the conjugacy class of elements of order 2 in finite groups, University of Tehran, 1390 (2011).**.A. Zarrin Ghalam**, A formula for the angle between subspaces of a inner product space, University of Tehran, 1391 (2012).**.F. Masoumi Louei**, Finite groups with trivial intersection subgroups, University of Tehran, 1391 (2012).**.S. Salehi**, Con-Cos groups with a few conjugacy classes, University of Tehran, 1391 (2012).**.Y. Jalilian**, Central automorphism of finite groups, University of Tehran, 1391 (2012).**.J. Fallahhoseini**, Square roots in finite groups, University of Tehran, 1391 (2012).**.Z. Mousavi**, Finite groups with an irreducible character which vanish on a few conjugacy class, University of Tehran, 1392 (2013).**.M. Darougheh**, Finite groups whose non-linear irreducible characters have only three distinct values, University of Tehran, 1392 (2013).**.H. Cheraghpour**, Automorphisms of metacyclic groups, University of Tehran, 1392 (2013).**.Z. Gorgepour**, When the commutator subgroup is equal to the set of commutators?, University of Tehran, 1393 (2014).**.H. Shahsavari**, Topics in automorphism group of p-groups, University of Tehran, 1393 (2014).**.P. Zamani Dehkordi**, Integral Cayley graphs, University of Tehran, 1393 (2015).**.M. Abedini**, Cubic integral Cayley graphs, University of Tehran, 1393 (2015).**.M. Emampour**, Graphs and codes, University of Tehran, 1394(2015).**.F. Ranjbar**, Inverse Galois problem, University of Tehran, 1394 (2015).**.F. Ghorbani**, The graph of k-nearest neighborhood, University of Tehran, 1394 (2015).**.M. A. Fallah Kalishami**, Construction of designs from group action, University of Tehran 1394 (2015).**.H. Sayedi**, Pancake graph, University of Tehran, 1394 (2015).**.S. Eshraghi**, Strongly regular graphs, University of Tehran, 1394 (2015).**.S. Madadi Moghadam**, G-graphs of finite groups, University of Tehran,1395 (2016)**.F. Haji**, Properties of antipodal graphs, University of Tehran, 1395(2016).**.F. Golestani**, Maximal non-commuting subsets in finite p-groups, University of Tehran, 1396 (2017)**.S. Hoseini**, Recognition of graphs by spectrum, University of Tehran, 1396 (2017)