
Alireza
Abdollahi


B.Sc. in Mathematics  M.Sc. in Mathematics  Title of M.Sc. Thesis: Some results and
problem arising from a question of Paul Erdos Supervisor: Prof. A. Mohammadi
Hassanabadi First Ph.D. in Mathematics  Title of Thesis: Some combinatorial conditions on
groups Supervisor of First Ph.D.: Prof.
A. Mohammadi Hassanabadi Second Ph.D. in Mathematics  Universite de Provence, CMI
France (October 2000June 2001) Title of Thesis: Quelques
conditions d'Engel dans certaines classes de groupes. (In English: Some Engel conditions in certain
classes of groups) Supervisor of Second Ph.D.: Prof. Gerard Endimioni 

Employment: Assistant
Professor, Department of Mathematics,
University
of Isfahan, 20012005. Associate
Professor, Department of Mathematics,
University
of Isfahan, 20052009. Professor, Department of Mathematics,
University
of Isfahan, 2009. 

Courses
Taught: 1. Algebra 1 2. Linear Algebra 3. Advanced Algebra 4. Topics in Group Theory 5. Coding Theory 6. Topics in Ring Theory 7. Graph Theory 8. Algebra 3 

Research
Interests: 1. Combinatorial conditions on finite and infinite subsets of
groups and rings 2. Engel elements in groups 3. Noninner automorphisms of order p in finite pgroups 4. Integral Cayley graphs and onefactorizations in Cayley graphs 5. NonCommuting graph, nonnilpotent graph, Engel graph,
noncyclic graph of groups Mathematics Subject Classifications (2000): 20; 16; 05; 20F45; 20D60; 20D45. 



AWARDS and
Honors: 1. First grade student in B.Sc. 2. First grade student in M.Sc. 3. First grade student in Ph.D. 4. Second prize in Alkharazmi young festival 1999. 5. First prize in Sheikh Bahaei festival 1999. 6. Ten months scholarship from 7. Selected by Internatinal Mathematical Union (IMU) for a grant to attendance in
Internatinal Congress of Mathematicians (ICM) 2002 in ChinaBeijing. 8. Scholarship from the abdus salam international
centre for theoretical physics (ICTP) in ItalyTrieste
for passing one month in the centre from 24 July 2003 to 24 August 2003. 9. Awarded to become a Junior
Associate of ICTP for the period 20032008. 10. Distinguished researcher in basic sciences of the
University of Isfahan (20052006). 11. Distinguished lecturer of 20062007 in Faculty of
Sciences in University of Isfahan. 12. Received ``Institute
for Studies in Theoretical Physics and Mathematics (IPM)'' Young
Mathematician Prize of 2005. 13. Head of distinguished Center of Excellence in Basic Sciences
(Selected by Ministry of Science and Education) 1388 (2010). 

Honorary
Activities: 1. Reviewer of Zentralblatt MATH. 2. Reviewer of the American
Mathematical Reviews. 3. EditorinChief of International Journal of Group Theory. To
submit a paper one must first register in the Online
Editorial System of IJGT. 4. EditorinChief of Transactions on Combinatorics. To submit a
paper one must first register
in the Online Editorial System of TOC. 5. Referee for a) Algebra Colloquium. (World Scientific). b) Journal of Applied Mathematics & Computing. (Korean
Society for Computational & Applied Mathematics and the Korean SIGCAM) c) Communications in Algebra (Taylor & Francis) d) Far East Journal of Mathematical Sciences (FJMS)
(Pushpa Publishing House) e) Bulletin of the Malaysian Mathematical Sciences Society f) Linear Algebra and its Applications (Elsevier
Inc.) g) Journal of Sciences,
Islamic Republic of Iran (University of Tehran) h) International Electronic Journal of Algebra (Int. Electron.
J. Algebra, Turkey) i) Utilitas Mathematica (Univ. Natal Dept. Math. Appl. Math.
Durban, South Africa) j) Ars Combinatoria (Charles Babbage Res. Centre, Canada) k) Journal of Group Theory (Walter de Gruyter) m) Publicationes Mathematicae
Debrecen (The Institute
of Mathematics,University of Debrecen,
n) International Journal of
Mathematics and Mathematical Sciences (Hindawi Publishing Corporation) p) Acta Mathematica Sinica (Institute of Mathematics, Chinese Academy of Sciences and
Chinese Mathematical Society, published by Springer) q) Journal of Algebra (Elsevier Inc.) r) Bulletin of the Iranian Mathematical Society s) American Mathematical Monthly t)
Journal of Algebraic Combinatorics (Springer) Collaboration in Conference Organizing: 1) Member
of the Scientific and Administrative Committees of The first TwoDays
Group Theory Seminar in IRAN. 2) Member
of the Scientific Committee of the 20^{th} Seminar on
Algebra of IRAN. 3)
Member of the Scientific
Committee of The Second Group Theory
Conference in IRAN, Mashhad. 4) Member
of the Scientific Committee of The Third Conference
and Workshop on Group Theory, IRAN, Tehran. 5)
Member of the
Scientific Committee of The
First Biennial International Group Theory Conference 2011, Malaysia, Johor
Bahru. 6)
Member of the
Scientific and Organizing Committee of The Third Algebraic
Combinatorics Conference of Iran, 2011, University of Isfahan. 7) Member
of the Scientific Committee of The Fourth
Group Theory Conference of IRAN, Isfahan Payame Noor University, March 79,
2012. 8)
Member of the
Scientific Committee of The
Fifth Group Theory Conference of IRAN, Islamic Azad University, Mashhad
Iran, March 1315, 2013. 9)
9) Member of the
Scientific Committee of The 23th
Algebra Seminar of IRAN, Khansar Faculty of Computer and Mathematics,
Khansar Isfahan, Iran, November 2122, 2013. 10)
10) Member of the Scientific
Committee of the
6th National Mathematics Conference of Payam Noor University,
Isfahan, Iran, 56 March 2014. 11)
11) Member
of the Scientific Committee of The
Sixth Group Theory Conference of IRAN, Golestan University, Gorgan, March
1213, 2014. 12)
12) Member of the
Scientific Committee of The 7th Group
Theory Conference of IRAN and 3rd Biennial International Group Theory
Conference, Ferdowsi University of Mashad, Mashhad, 2831 January, 2015. 13)
13) Member of the
Scientific Committee of The 8th
Group Theory Conference of IRAN, University of Tabriz, Tabriz,
35 February, 2016. 14)
14) Member
of the Scientific Committee of The
4th Biennial International Group Theory Conference, Malaysia, Kuala
Lumpur, Universiti Teknologi Malaysia, 2326 January, 2017. 15)
15) Member of the
Scientific Committee of The 9th
Group Theory Conference of IRAN, University of Kashan, Kashan,
13 February, 2016. 16)
16) Member
of the Scientific Committee of The 10th Group
Theory Conference of IRAN, Kharazmi University, Tehran, 2426
January, 2018. 17)
17) Member of the
Scientific Committee of The 11th
Group Theory Conference of IRAN, Yazd University, Yazd, 3031
January, 2019. 18)
18) Member of the
Scientific Committee of The Fifth Biennial International Group
Theory Conference 2019 (5BIGTC2019), Institut Teknologi Bandung,
Indonesia, 14 July, 2019. 19)
19) Member
of the Scientific Committee of 50th
Annual Iranian Mathematics Conference, 2629 August 2019, Shiraz, Iran. 20)
20) Member
of the Scientific Committee of The 12th
Group Theory Conference of IRAN, Tarbiat Modares University, Tehran,
1819 February, 2020. 21)
Member of the Scientific Committee
of the 13^{th} Group Theory
Conference of Iran, (Urimia University) 22)
Member of the Scientific Committee
of the 14^{th} Group Theory
Conference of Iran, (Elmo Sanat University) 23)
Member of the Scientific Committee
of the 15^{th} Group Theory
Conference of Iran, (Amir Kabir University) 

Papers: Published or Accepted
in 2023 124. S. M. Ghoraishi, A.
Abdollahi, A. Hosseini and R. Sobhani, On fully invariant subgroups of finite
abelian groups, to appear in Siberian Electronic Mathematical Reports. [PDF] 123. A. Abdollahi, Groups with symmetric noncommuting
graphs, to appear in Siberian Electronic Mathematical Reports. [PDF]
Published or Accepted
in 2022 122. A.
Abdollahi, J. Bagherian, M. Ebrahimi, F. Mombeni Garmsiri, M. Khatami, and R.
Sobhani, Groups
with sharp nonlinear irreducible characters, to appear in
Communications in Algebra. 121. A.
Abdollahi, J. Bagherian, M. Ebrahimi, F. Mombeni Garmsiri, M. Khatami, and R.
Sobhani, Groups with sharp characters
of type {−1, 1, 3}, Bulletin of the
Iranian Mathematical society, 48 (2022) 38093821. [PDF] 120. A. Abdollahi, J. Bagherian, M. Ebrahimi, M.
Khatami, Z. Shahbazi and R. Sobhani, On sharp characters of type {−1, 0, 2}, Czechoslovak Mathematical Journal, 72 (2022)
10811087. [PDF]
119. A. Abdollahi, J. Bagherian, M. Khatami, Z.
Shahbazi and R. Sobhani, A
conjecture of Cameron and Kiyota on sharp characters with prescribed values, Communications in Algebra, 50 No. 6
(2022) 27312739. [PDF]
118. A. Abdollahi and M. Ebrahimi, Zero divisors of support
size 3 in complex group algebras of finite groups, to
appear in Iranian Journal of Mathematical Sciences and Informatics.
117. A. Abdollahi and M. Soleimani Malekan, A necessary condition for
zero divisors in complex group algebra of torsionfree groups, to appear in Iranian Journal of Mathematical
Sciences and Informatics.
116. A. Abdollahi and M. Soleimani Malekan, Compact groups with a
set of positive Haar measure satisfying a nilpotent law, Mathematical
Proceedings of the Cambridge Philosophical Society, 173 No. 2
(2022) 329332. [PDF]
115. A. Abdollahi, M. Arezoomand and G. Tracy, On finite totally 2closed groups, C. R., Math., Acad. Sci.
Paris 360, (2022) 10011008.[PDF]
114. A. Abdollahi and M. Soleimani
Malekan, Commuting probability of
compact groups, Bulletin of the Australian Mathematical Society, 105 No. 1
(2022) 8791. https://doi.org/10.1017/S0004972721000472 [PDF]
113. A. Abdollahi and N. Zakeri, Cospectrality of
multipartite graphs, Ars Mathematica
Contemporanea, 22 No. 1 (2022) #P1.06, 15 pp [PDF]
Published or Accepted
in 2021 112. A. Abdollahi and N. Zakeri, Proof of a conjecture on spectral
distance between cycles, paths and certain trees, Discrete
Mathematics, Algorithms and Applications, 13 (2021) No. 6, Paper No. 2150073, 9 pp. https://doi.org/10.1142/S1793830921500737 [PDF]
Published or Accepted in 2020
111. A. Abdollahi and S. Mahdi Zanjanian,
Quotients of Passman Fours Group and Nonunits of Their Group Algebras. Bull. Iran. Math.
Soc. (2020). https://doi.org/10.1007/s41980020004756 [PDF] 110. A. Abdollahi and S. Mahdi Zanjanian,
Units of Group Algebras of the Fours Group, Bulletin of the Iranian
Mathematical Society 46, . 1371–1387(2020) [PDF]
109. M. Soleimani Malekan, A. Abdollahi and M. Ebrahimi, Compact groups with many elements of bounded order, J. Group Theory, 23 (2020) 991998. https://doi.org/10.1515/jgth20200045 [PDF] 108. A. Abdollahi and N. Rahmani, Automorphism groups of
2groups of coclass at most 3, Bull. Malays. Math. Sci. Soc. Vol. 43 No. 3 (2020) 23132320.
https://doi.org/10.1007/s40840019008069
[PDF] 107. Alireza Abdollahi and Fatemeh Jafari, Cardinality of product sets in
torsionfree groups and applications in group algebras, Journal of
Algebra and its Applications, 19 (2020) No. 4., 2050079, 24 pp. https://doi.org/10.1142/S0219498820500796
[PDF] 106. A. Abdollahi, N. Trabelsi and A. Zitouni,, Groups
with an Engel restriction on proper subgroups of infinite rank, Journal of
Algebra and Its Applications, (2020)
2050213 (8 pages). https://dx.doi.org/10.1142/
S0219498820502138
[PDF] Published or Accepted
in 2019 105. A. Abdollahi and Z. Taheri, Zero divisors of support size 3 in
group algebras and trinomials divided by irreducible polynomials over GF(2), to appear in Rend. Sem. Mat.
Univ. Padova, [PDF] 104. M. Arezoomand, A. Abdollahi
and P. Spiga, On problems concerning fixedpointfree permutations and
on the polycirculant conjecturea survey, Transactions on Combinatorics, 8, No.
1 (2019) 1540. [PDF] 103. A. Abdollahi and S. M. Zanjanian, Nonunits of group algebras over the fours group, Journal of Algebra and its
Applications, Vol.
18, No. 12 (2019) 1950228 (13 pages) . [PDF] 102. R. Sobhani, A. Abdollahi, J. Bagherian, M. Khatami, A note on good
permutation codes from Reed–Solomon codes, Designs, Codes and Cryptography, 87 (2019)
23352340 [PDF] 101. Alireza Abdollahi and Maysam Zallaghi,
NonAbelian finite groups whose character sums are invariant but are not
Cayley isomorphism, Journal of Algebra and its Applications, 18 No. 1 (2019) 1950013, 15 pp. [PDF] 100. Alireza Abdollahi and Fatemeh Jafari, Zero divisor and unit elements with
supports of size 4 in group algebras of torsionfree groups, Communications
in Algebra, 47 No. 1 (2019) 424449. [PDF] Published in 2018 99. Alireza Abdollahi and M. Jazaeri, Integral graphs with distinct
eigenvalues, Ars Combinatoria, 140 (2018) 351357. [PDF] 98. Alireza Abdollahi, Groups of prime power
orders covered by a certain number of proper subgroups, Bulletin of the Iranian Mathematical Society, Vol.
44, No. 4 (2018) 10671068. [PDF] 97. Alireza Abdollahi and Z. Taheri, Zero
divisors and units with small supports in group algebras of torsionfree
groups, Communications in
Algebra, 46 No. 2 (2018) 887925. [PDF] 96. Alireza Abdollahi, M. Arezoomand, Finite nilpotent groups that coincide with their
2closures in all of their faithful permutation representations, Journal of Algebra and
Its Applications, [PDF] Published in 2017 95. Alireza Abdollahi and H. Mousavi, Finite nilpotent
groups whose cyclic subgroups are TIsubgroups, Bull. Malays. Math. Sci.
Soc., 40 (2017) 15771589. [PDF] 94. Alireza Abdollahi, B. Daoud, M. D. G.
Farrokhi and Y. Guerboussa, Groups of prime
generalized exponent, International Journal of Algebra and
Computation, 27 No. 7 (2017) 849862.
[PDF] 93. Alireza Abdollahi, R. Woodroofe and G. Zaimi, Frankl's Conjecture for subgroup
lattices, Electronic Journal of Combinatorics, 24, No. 3 (2017),
#P3.25. [PDF] 92. Alireza Abdollahi, M. Ghuedri and Y.
Guerboussa, Nontriviality of Tate
cohomology for certain classes of finite pgroups, Communications in
Algebra, 45, No. 12 (2017), 51885192. [PDF] 91. Alireza Abdollahi, M. Jazaeri and Edwin R. van Dam, Distanceregular Cayley graphs with
least eigenvalue 2, Designs, Codes and
Cryptography, 84 No. 1 (2017) 7385. [PDF] 90. Alireza Abdollahi, S. M. Ghoraishi and M.
Ahmadi, Finite pgroups with the least number of outer pautomorphisms,
Journal of Algebra and Its Applications, Vol. 16, No. 5 (2017) 1750111 (12
pages). [PDF] 89. Alireza Abdollahi and S. M. Ghoraishi, On noninner
automorphisms of 2generator finite pgroups, Comm. Algebra, Vol. 45,
No. 8 (2017) 36363642. [PDF] 88. Alireza Abdollahi, Sh. Janbaz and M Ghahramani,
A large family of cospectral Cayley graphs over dihedral groups, Discrete
Mathematics, Vol. 340 (2017) 11161121. [PDF] Published in 2016 87. Alireza Abdollahi, Sh. Janbaz and M.
Jazaeri, Groups all of whose
undirected Cayley graphs are determined by their spectra, Journal of Algebra and Its Applications, Vol. 15, No. 9 (2016) 1650175 (15 pages) . [PDF] 86. Alireza Abdollahi and Amir Loghman, Cayley
graphs isomorphic to the product of two Cayley graphs, Ars Combinatoria, 126
(2016) 301310. [PDF] Published in 2015 85. Alireza Abdollahi and M. Zallaghi,
Character sums for Cayley graphs, Comm.
Algebra, 43
(2015) 51595167. [PDF] 84. Alireza Abdollahi, Sh. Janbaz and M.
R. Oboudi, Distance between spectra of graphs, Linear
Algebra and its Applications, Vol. 466 (2015) 401408. [PDF] 83. Alireza Abdollahi, Nonsolvable groups generated by involutions in which every
involution is left 2Engel, Journal of Group Theory,
Vol. 18 No. 1 (2015) 111114. [PDF] Published in 2014 82. A. Tavakoli, A. Rejali,
A. Yousofzadeh and Alireza Abdollahi, A note about
configuration of a group, MATEMATIKA,
Vol. 30, No. 2 (2014) 117121. [PDF] 81. Alireza Abdollahi, Sh. Janbaz and M. R.
Oboudi, Cospectrality measures of graphs with at most six vertices, Journal
of Algebraic Structures and their Applications, Vol. 1 No. 1 (2014) 5767. [PDF] 80. Alireza Abdollahi and S. M. Ghoraishi, pGroups
for which each outer pautomorphism centralizes only p
elements, Glasnik
Matematicki Vol.
49(69) (2014) 119 122 [PDF] 79. Alireza Abdollahi and Shahrooz Janbaz,
Connected graphs cospectral with a Friendship graph, Trans. Comb., 3 No. 2 (2014)
1720. [PDF] 78. Alireza Abdollahi and
Mohammad Reza Oboudi, Cospectrality of graphs, Linear Algebra and its
Applications, 451 (2014) 169181. [PDF] 77. Alireza Abdollahi, S. M. Ghoraishi, Y.
Guerboussa, M. Reguiat and B. Wilkens, Noninner automorphisms of order p
for finite pgroups of coclass 2, Journal of Group
Theory, 17 (2014) 267272. [PDF] 76. Alireza Abdollahi and S. M. Ghoraishi, On
noninner 2automorphisms of finite 2groups, Bulletin of the Australian
Mathematical Society, 90 No. 2 (2014) 227231. [PDF] 75. Alireza Abdollahi and M. Jazaeri, Groups
all of whose undirected Cayley graphs are integral, European Journal of
Combinatorics 38 (2014) 102109. [PDF] 74.
Alireza Abdollahi, Groups with maximal irredundant covers
and minimal blocking sets, Ars Combinatoria 113 (2014) 337339.[PDF] 73. Alireza Abdollahi and Hamid
Shahverdi, Noncommuting
graphs of nilpotent groups, Communications in
Algebra 49 No. 9 (2014) 39443949. [PDF] Published in 2013 72. Alireza Abdollahi, Shahrooz Janbaz and
Mohammad Reza Oboudi, Graphs cospectral with a friendship graph or its
complement, Trans. Comb., 2 No. 4
(2013) 3752. [PDF] 71. Alireza Abdollahi and S. M. Ghoraishi, Noninner automorphisms
of finite pgroups leaving the center elementwise fixed, Int. J. Group Theory, 2
no. 4 (2013) 1720. [PDF] 70. Alireza Abdollahi and S. M. Ghoraishi and
Bettina Wilkens, Finite
pgroups of class 3 have noninner automorphisms of order p, Contributions to Algebra
and Geometry, 54 No. 1 (2013) 363381. [PDF] 69. Alireza Abdollahi and M. Jazaeri, On groups admitting no
integral Cayley graphs besides complete multipartite graphs, Appl. Anal. Discrete
Math. 7 (2013), 119128. [PDF] 68. Alireza Abdollahi, S. Akbari, H. Dorbidi
and H. Shahverdi, Commutativity
pattern of finite nonabelian pgroups determine their orders, Communications in
Algebra, 41 No. 2 (2013) 451461. [PDF] 67. Alireza Abdollahi and A. Loghman, On onefactorizations of
replacement products, Filomat, 27: 1 (2013)
5763. [PDF] Published in 2012 66. Alireza Abdollahi, Determinants of
adjacency matrices of graphs, Trans. Comb. 1 No. 4 (2012) 916. [PDF] 65. Alireza Abdollahi and H. Shahverdi, Characterization of the
alternating group by its noncommuting graph, Journal of Algebra, 357
(2012) 203207. [PDF] 64. A. Tavakoli, Alireza Abdollahi, H.E.
Bell, Rings
with a setwise polynomiallike condition, Bulletin of the Iranian
Mathematical Society 38
No. 2 (2012) 305311. [PDF] Published in 2011 63. Alireza Abdollahi , R. Brandl and A.
Tortora, Groups generated by a
finite Engel set, Journal of Algebra 347
(2011) 5359. [PDF] 62. Alireza Abdollahi and Francesco G. Russo, On a problem of P. Hall
for Engel words, Arch. Math. (Basel) 97 (2011) 407412. [PDF] 61. Alireza Abdollahi, Cohomologically
trivial modules over finite groups of prime power order, Journal of
Algebra 342 (2011)
154160. [PDF] 60. Alireza Abdollahi and E. Vatandoost, Integral quartic Cayley graphs of abelian groups, The
Electronic Journal of Combinatorics 18 (2011), #P89.[PDF] 59. Alireza Abdollahi, Engel elements in groups,
London Mathematical Society Lecture Note Series: 387, Groups St Andrews 2009
in Bath, Volume 1, Cambridge University Press, 2011, pp. 94117. [PDF] Published in 2010 58.
Alireza Abdollahi, A. Faghihi, S.A. Linton and E.A.
O'Brien,
Finite 3groups of class 3 whose elements commute with
their automorphic images, Arch. Math. (Basel) 95 No.1 (2010) 17. [PDF] 57. Alireza Abdollahi and H. Khosravi, Right
4Engel elements of a group, Journal of Algebra and Its Applications 9
(2010) 763769. [PDF] 56. Alireza Abdollahi, Powerful pgroups have
noninner automorphisms of order p and some cohomology, Journal of Algebra 323
(2010) 779789. [PDF] 55. Alireza Abdollahi and H. Khosravi, On the
right and left 4Engel elements, Communications in Algebra 38 No. 3 (2010)
933943. [PDF] 54. Alireza Abdollahi, A. Azad, A. Mohammadi
Hassanabadi and M. Zarrin, On the clique number of noncommuting graphs of
certain groups, Algebra Colloquium 17 No. 4 (2010) 611620. [PDF] 53. Alireza Abdollahi and M. Zarrin,
Nonnilpotent graph of a group, Communications in Algebra , 38 No. 12 (2010) 43904403. [PDF] Published in 2009 52. Alireza Abdollahi and E. Vatandoost, Which Cayley graphs are
integral?, The Electronic Journal of Combinatorics 16 (2009), #R122. [PDF] 51. Alireza Abdollahi and A. Mohammadi Hassanabadi, Noncyclic
graph associated with a group, Journal of Algebra and Its Applications, 8 No.
2 (2009) 243257. [PDF] 50. Alireza Abdollahi and A. Tavakoli, A
note on centrality in infinite groups, Southeast Asian Bulletin
of Mathematics, 33 (2009) 207208. [PDF] 59. Alireza Abdollahi, H.R. Maimani and R.
Torabi, On the automorphism group of a possible symmetric (81,16,3)
design, Utilitas Mathematica, 78 (2009) 243250. [PDF] 48.
Alireza Abdollahi, A. Rejali and A. Yousofzadeh, Configuration
of nilpotent groups and isomorphism, Journal of Algebra and Its Applications 8, No. 3
(2009) 339350. [PDF] 47. Alireza Abdollahi, Characterization of SL(2,q)
by its noncommuting graph, Beitrage zur Algebra und Geometrie,
50, No. 2, (2009) 443448.[PDF] Published in 2008 46. Alireza Abdollahi, A. Faghihi and A.
Mohammadi Hassanabadi, 3Generator groups whose elements commute with their
endomorphic images are abelian , Communications in Algebra, 36 No. 10 (2008)
37833791. [PDF] 45. Alireza Abdollahi, A. Faghihi and A.
Mohammadi Hassanabadi, Minimal number of generators and
minimum order of a nonAbelian group whose elements commute with their
endomorphic images, Communications in Algebra, 36 No. 5
(2008) 19761987. [PDF] 44. Alireza Abdollahi, M.J. Ataei and A.
Mohammadi Hassanabadi, Minimal blocking sets in PG(n,2) and covering groups
by subgroups, Communications in Algebra, 36 No. 2 (2008) 365380. [PDF] 43. Alireza Abdollahi, Commuting graphs of full
matrix rings over finite fields, Linear Algebra and its
Applications, 428 (2008) 29472954. [PDF] 42. Alireza Abdollahi, 1factorizations of
Cayley graphs, Ars Combinatoria, 86 (2008) 129131. [PDF] 41. Alireza Abdollahi and H. R. Maimani, A new
technique for constructing pairwise balanced designs from groups, Ars
Combinatoria, 86 (2008) 409413.[PDF] 40. Alireza Abdollahi and S.M. Jafarian Amiri, Minimal
coverings of completely reducible groups, Publicationes
Mathematicae Debrecen, 72/12 (2008), 167172 . [PDF] Published in 2007 39. Alireza Abdollahi, Engel graph associated
with a group, Journal of Algebra, 318 (2007) 680691. [PDF] 38.
Alireza Abdollahi, A combinatorial
property of Burnside varieties of groups, Ischia group theory 2006, 16, World Sci. Publ., Hackensack, NJ, 2007. [PDF] 37. Alireza Abdollahi and S.M. Jafarian Amiri,
On groups with an irredundant 7cover, Journal of Pure and Applied Algebra,
209 (2007) 291300. [PDF] 36. Alireza Abdollahi, S.M. Jafarian Amiri and A.
Mohammadi Hassanabadi, Groups with specific number of
centralizers, Houston Journal of Mathematics, 33, No. 1
(2007), 4357 .
[PDF] 35. Alireza Abdollahi, Finite pgroups
of class 2 have noninner automorphisms of order p, Journal of
Algebra, 312 (2007) 876879. [PDF] 34. Alireza Abdollahi and A. Mohammadi
Hassanabadi, Noncyclic graph of a group, Communications in Algebra, 35
(2007) 20572081. [PDF] 33. Alireza Abdollahi, F. Ashraf and S.M. Shaker,
The symmetric group of degree six can be covered by 13 and no fewer proper
subgroups, Bulletin of the Malaysian Mathematical Sciences Society,
Second Series, 30 No. 1 (2007) 5758. [PDF] Published in 2006
Published
in 2005 28. Alireza Abdollahi,
Groupes satisfaisant une condition d'Engel, Journal of Algbera, 283, No. 2
(2005) 431446. [PDF] Published in 2004 22. Alireza Abdollahi,
Powers of a product of commutators as products of squares,
International Journal of Mathematics and Mathematical Sciences, 2004:7 (2004)
373375. [PDF] Published in 2003 17. Alireza Abdollahi,
Certain locally nilpotent varieties of groups, Bull. Austral. Math. Soc. 67
(2003) 115119. [PDF] Published in 2002 16. Alireza Abdollahi, A
combinatorial problem in infinite groups, Bull. Malays. Math. Sci. Soc. (2)
25 (2002) 101114. [PDF] 9 (2002) 205215. [PDF] 130 (2002) 28272836. [PDF] Published in 2001 13. Alireza Abdollahi,
Some Engel conditions on finite subsets of certain groups, Houston J. Math.
73 no. 3 (2001) 511522. [PDF] Published in 2000 9. Alireza Abdollahi,
Infinite groups with an Engel condition on infinite subsets, Bull. Iranian
Math. Soc. 26 no. 1 (2000) 7378. [PDF] Published in 1999 5. Alireza Abdollahi, A
characterization of infinite 3abelian groups, Arch. Math. ( Published in 1998 1. Alireza Abdollahi and
Aliakbar Mohammadi Hassanabadi, A characterization of infinite abelian
groups, Bull. Iranian Math. Soc. 24 no. 2 (1998) 4148. [PDF] 

Presentation
in Conferences: 1998 1. Alireza Abdollahi, Integral of a group, 29th Iranian
International Conference on Mathematics, Amirkabir University of Technology
(Tehran Polytechnic), Iran, March 2831, 1998. 1999 3. Alireza Abdollahi, An Engel condition on certain residually
finite groups, 30th Iranian International Conference on Mathematics, 2000 7. Alireza Abdollahi and Bijan Taeri, A combinatorial condition on
infinite rings, Proceedings of the 31st Iranian Mathematics Conference,
University of Tehran, Iran, August 2730, 2000, 2327. 2002 9. Alireza Abdollahi, 4Engel groups and certain locally nilpotent
varieties of groups, (Invited Speaker) 14th Iranian Algebra Seminar of Iran,
Azzahra University, TehranIran, July 1618, 2002. 2004 13. Alireza Abdollahi, Infinite Ramsey's theorem and some of its
applications in group theory, One hour talk delivered at
Institute for Studies in Theoretical Physics and Mathematics (IPM), Gaveh zang Zanjan, Iran. (This is an improved version of the
Item 3 in 2002, see below.) [PDF] 2005 16. Alireza Abdollahi, Rings in which a given polynomial has many
solutions, 35th Annual Iranian Mathematics Conference, Shahid Chamran
University of Ahvaz, January 2629, 2005. [PDF] 

Supervised
M.Sc. Students and Title of Their Thesis:
1) A.
Mosaiebi, (2001) A combinatorial condition on infinite groups, (Advisor) 2) M. Behdari, (2002) Engel conditions on groups, (Advisor) 3) M. J. Abbasi, (2002) Some combinatorial Engel
conditions on groups, (Supervisor) 4) M. Zarrin, (2002) Subnormal conditions on nontorsion groups, (Supervisor) 5) M. Elyasi, (2002) Some combinatorial conditions on groups and
applications of Ramsey's theorem, (Supervisor) 6) J. Sarhadi,(2002) Study of subgroups of finite pgroups, (Advisor) 7) S. Afshari, (2002) Study of rewritable
groups,
(Advisor) 8) P. Rashno, (2002) Characterization of groups in which the
product of every four elements is permutable, (Advisor) 9) H. Khosravi, (2003) Engel groups and
semigroup laws, (Supervisor) 10) M. Araskhan, (2003) Some bounds for locally nilpotent groups in
certain variety of groups, (Supervisor) 11) R. Mohamdpour Nashli, (2003) Semicomplete groups, (Advisor) 12) A. Rahmatimanesh, (2003) Central automorphisms of groups, (Advisor) 13) M. Aminian, (2004) Covering algebras, (Advisor) 14) B. Behzadi Share Babak, (2005) Sequenceablity of groups, (Supervisor) 15) R. Niazi, (2005) 3rewritable groups, (Advisor) 16) F. Ashraf, (2006) Groups which union of finitely many
subgroups, (Supervisor) 17) S. M. Shaker Khovidaki, (2007) Study of coverings
of symmetric groups of small degrees, (Supervisor) 18) A. Zeidi, (2008) 9centralizers groups, (Supervisor) 19) E. Nasibi, (2009) Groups with given central automorphism of groups, (Supervisor) 

Click HERE to see
supervised Ph.D. Students and Title of their Thesis Iranian Group
Theorists (who I know): 1) Ahmad Erfanian 2) Mohammad Reza Darafsheh 4) Ali Akbar Mohammadi Hassanabadi, 5) Mohammad Reza Rajbzadeh Moghaddam 6) H. Doostie 7) Ali Iranmanesh 8) Ali Reza Ashrafi 9) A. Rahnamai Barghi 10) Behrooz Khosravi 11) Mohammad Reza Pournaki 12) Bijan Taeri 13) Ali Reza Moghaddamfar 14) Hamid Mousavi 15) Saeed Kayvanfar 16) Behrooz Mashayekhy 17) Ali Reza Salemkar 18) Houshang Behravesh 19) M. Akhavan Malayeri 20) Z. Mostaghim 21) M. R. Moghaddam 22) A. Azad 23) M. Zarrin 24) A. Faghihi Afarni 25) S. M. Majid Jafarian Amiri 26) M. J. Ataei 