Alireza Abdollahi

• B.Sc. in Mathematics — University of Isfahan, Iran (1992–1996)
• M.Sc. in Mathematics — University of Isfahan, Iran (1996–1997)
  Thesis: Some results and problems arising from a question of Paul Erdős · Supervisor: Prof. A. Mohammadi Hassanabadi
• First Ph.D. in Mathematics — University of Isfahan, Iran (1997–2000)
  Thesis: Some combinatorial conditions on groups · Supervisor: Prof. A. Mohammadi Hassanabadi
• Second Ph.D. in Mathematics — Université de Provence, CMI, France (2000–2001)
  Thesis: Quelques conditions d'Engel dans certaines classes de groupes · Supervisor: Prof. Gérard Endimioni

Author profiles, bibliometric records, and academic identifiers:

• Assistant Professor, Department of Mathematics, University of Isfahan (2001–2005)
• Associate Professor, Department of Mathematics, University of Isfahan (2005–2009)
• Professor, Department of Mathematics, University of Isfahan (2009–present)

Courses Taught

• Algebra 1 · Linear Algebra · Advanced Algebra
• Topics in Group Theory · Topics in Ring Theory · Algebra 3
• Coding Theory · Graph Theory

1. Combinatorial conditions on finite and infinite subsets of groups and rings
2. Engel elements in groups
3. Non-inner automorphisms of order p in finite p-groups
4. Integral Cayley graphs and one-factorizations in Cayley graphs
5. Non-commuting graph, non-nilpotent graph, Engel graph, non-cyclic graph of groups

Mathematics Subject Classifications (2000)

20 · 16 · 05 · 20F45 · 20D60 · 20D45

• Head of Mathematics Department, University of Isfahan (2004–2006)
• Head of Graduate Studies, University of Isfahan (2006–2009)
• Member of Scientific Committee of Mathematics Section, Institute for Studies in Fundamental Sciences (IPM) (2007–2009)
• Head of Research Affairs, University of Isfahan (2009–2011)
• Head of the Center of Excellence for Mathematics, University of Isfahan (2008–2011)
• Dean of Administrative and Finance Affairs, University of Isfahan (2011–2014)

1. First grade student in B.Sc., M.Sc., and Ph.D.
2. Second prize in Alkhwarizmi Young Festival (1999)
3. First prize in Sheikh Bahaei Festival (1999)
4. Ten-month scholarship from the French Government (selected by IPM)
5. Selected by IMU for a grant to attend ICM 2002, Beijing, China
6. Scholarship from the Abdus Salam ICTP, Trieste, Italy (July–August 2003)
7. Junior Associate of ICTP (2003–2008)
8. Distinguished Researcher in Basic Sciences, University of Isfahan (2005–2006)
9. Distinguished Lecturer (2006–2007), Faculty of Sciences, University of Isfahan
10. IPM Young Mathematician Prize (2005)
11. Head of Distinguished Center of Excellence in Basic Sciences (2010)

• Reviewer of American Mathematical Reviews
• Editor-in-Chief of International Journal of Group Theory
• Editor-in-Chief of Transactions on Combinatorics
• Referee for numerous journals: Algebra Colloquium, Communications in Algebra, Journal of Group Theory, Journal of Algebra, and many more.

Conference Organization

Member of the Scientific/Organizing Committees of numerous national and international conferences including Group Theory Conferences of Iran (1st–15th), Biennial International Group Theory Conferences (Malaysia, Indonesia), 50th Annual Iranian Mathematics Conference, and several Algebra Seminars.

2026 6

1. M. Soleimani Malekan and Alireza Abdollahi, A generalization of the Chermak–Delgado theorem to compact groups, J. Algebra Appl. 25 (2026), no. 13, Paper No. 2650160. PDF
2. R. Sobhani, F. Parvaresh, Alireza Abdollahi, F. Abedi, J. Bagherian and M. Khatami, On enumerating feasible permutations for rank modulation codes in DNA storage via hyperplane arrangements, IEEE Trans. Inform. Theory 72 (2026), no. 8, 5490–5500. PDF
3. Alireza Abdollahi, M. Arezoomand, T. Feng and S. Wang, On 2-integral Cayley graphs, Ars Math. Contemp. 26 (2026), no. 3, Paper No. 6, 21 pp. PDF
4. Alireza Abdollahi, J. Bagherian, F. Jafari, M. Khatami, A. Orak, F. Parvaresh and R. Sobhani, Rank-modulation codes for DNA storage in shotgun sequencing: structure and distance properties, Discrete Math. 349 (2026), no. 11, Paper No. 115253, 18 pp. PDF
5. Alireza Abdollahi, M. Arezoomand and M. Ebrahimi, Integral Cayley graphs of symmetric groups on transpositions, Discrete Math. 349 (2026), no. 10, Paper No. 115205, 7 pp. PDF
6. Alireza Abdollahi, J. Bagherian, H. Eskandari, F. Jafari, M. Khatami, F. Parvaresh and R. Sobhani, The sequence reconstruction of permutations under Hamming metric with small errors, Cryptogr. Commun. 18 (2026), no. 5, 1815–1830. PDF

2025 5

1. Alireza Abdollahi and M. Ebrahimi, Zero divisors of support size 3 in complex group algebras of finite groups, Iran. J. Math. Sci. Inform. 20 (2025), no. 2, 123–128. PDF
2. Alireza Abdollahi, J. Bagherian, F. Jafari, M. Khatami, F. Parvaresh and R. Sobhani, Upper bounds on the size of permutation codes with a Hamming distance of five, Cryptogr. Commun. 17 (2025), no. 4, 1075–1091. PDF
3. F. Parvaresh, R. Sobhani, Alireza Abdollahi, J. Bagherian, F. Jafari and M. Khatami, Improved bounds on the size of permutation codes under Kendall τ-metric, IEEE Trans. Inform. Theory 71 (2025), no. 6, 4156–4166. PDF
4. R. T. Shwayyea, J. Bagherian, R. Sobhani and Alireza Abdollahi, A new lower bound for permutation codes using Reed–Solomon codes, IEEE Access 13 (2025), 159412–159421. PDF
5. E. K. Al-Lami, R. Sobhani, Alireza Abdollahi and J. Bagherian, More on codes over finite quotients of polynomial rings, IEEE Access 13 (2025), 15339–15345. PDF

2024 3

1. Alireza Abdollahi, Groups with symmetric non-commuting graphs, Sib. Èlektron. Mat. Izv. 21 (2024), no. 2, 645–653. PDF
2. Alireza Abdollahi and M. Soleimani Malekan, A necessary condition for zero divisors in complex group algebra of torsion-free groups, Iran. J. Math. Sci. Inform. 19 (2024), no. 2, 189–194. PDF
3. Alireza Abdollahi and M. Shahryari, Logical generation of groups, Comm. Algebra 52 (2024), no. 8, 3457–3460. PDF

2023 4

1. 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
2. Alireza Abdollahi, J. Bagherian, F. Jafari, M. Khatami, F. Parvaresh and R. Sobhani, New upper bounds on the size of permutation codes under Kendall τ-metric, Cryptogr. Commun. 15 (2023), no. 5, 891–903. PDF
3. Alireza Abdollahi and M. Soleimani Malekan, Nilpotent probability of compact groups, J. Algebra 631 (2023), 136–147. PDF
4. Alireza Abdollahi, J. Bagherian, M. Ebrahimi, F. M. Garmsiri, M. Khatami and R. Sobhani, Groups with sharp non-linear irreducible characters, Comm. Algebra 51 (2023), no. 3, 1011–1019. PDF

2022 6

1. A. Abdollahi et al., Groups with sharp characters of type {−1, 1, 3}, Bulletin of the Iranian Mathematical Society, 48 (2022) 3809–3821. PDF
2. A. Abdollahi et al., On sharp characters of type {−1, 0, 2}, Czechoslovak Mathematical Journal, 72 (2022) 1081–1087. PDF
3. A. Abdollahi et al., A conjecture of Cameron and Kiyota on sharp characters with prescribed values, Communications in Algebra, 50 No. 6 (2022) 2731–2739. PDF
4. A. Abdollahi and M. Soleimani Malekan, Compact groups with a set of positive Haar measure satisfying a nilpotent law, Math. Proc. Cambridge Philos. Soc., 173 No. 2 (2022) 329–332. PDF
5. A. Abdollahi, M. Arezoomand and G. Tracy, On finite totally 2-closed groups, C. R. Math. Acad. Sci. Paris, 360 (2022) 1001–1008. PDF
6. A. Abdollahi and M. Soleimani Malekan, Commuting probability of compact groups, Bull. Austral. Math. Soc., 105 No. 1 (2022) 87–91. PDF

2021 1

1. A. Abdollahi and N. Zakeri, Proof of a conjecture on spectral distance between cycles, paths and certain trees, Discrete Math. Algorithms Appl., 13 (2021) No. 6, Paper No. 2150073, 9 pp. PDF

2020 6

1. A. Abdollahi and S. M. Zanjanian, Quotients of Passman Fours Group and Non-units of Their Group Algebras, Bull. Iran. Math. Soc. (2020). PDF
2. A. Abdollahi and S. M. Zanjanian, Units of Group Algebras of the Fours Group, Bull. Iran. Math. Soc., 46 (2020) 1371–1387. PDF
3. M. Soleimani Malekan, A. Abdollahi and M. Ebrahimi, Compact groups with many elements of bounded order, J. Group Theory, 23 (2020) 991–998. PDF
4. A. Abdollahi and N. Rahmani, Automorphism groups of 2-groups of coclass at most 3, Bull. Malays. Math. Sci. Soc., 43 No. 3 (2020) 2313–2320. PDF
5. A. Abdollahi and F. Jafari, Cardinality of product sets in torsion-free groups and applications in group algebras, J. Algebra Appl., 19 (2020) No. 4, 2050079, 24 pp. PDF
6. A. Abdollahi, N. Trabelsi and A. Zitouni, Groups with an Engel restriction on proper subgroups of infinite rank, J. Algebra Appl., (2020) 2050213, 8 pp. PDF

2019 6

1. A. Abdollahi and Z. Taheri, Zero divisors of support size 3 in group algebras and trinomials divided by irreducible polynomials over GF(2), Rend. Sem. Mat. Univ. Padova. PDF
2. M. Arezoomand, A. Abdollahi and P. Spiga, On problems concerning fixed-point-free permutations and on the polycirculant conjecture — a survey, Trans. Comb., 8 No. 1 (2019) 15–40. PDF
3. A. Abdollahi and S. M. Zanjanian, Nonunits of group algebras over the fours group, J. Algebra Appl., 18 No. 12 (2019) 1950228, 13 pp. PDF
4. R. Sobhani, A. Abdollahi, J. Bagherian, M. Khatami, A note on good permutation codes from Reed–Solomon codes, Des. Codes Cryptogr., 87 (2019) 2335–2340. PDF
5. A. Abdollahi and M. Zallaghi, Non-Abelian finite groups whose character sums are invariant but are not Cayley isomorphism, J. Algebra Appl., 18 No. 1 (2019) 1950013, 15 pp. PDF
6. A. Abdollahi and F. Jafari, Zero divisor and unit elements with supports of size 4 in group algebras of torsion-free groups, Comm. Algebra, 47 No. 1 (2019) 424–449. PDF

2018 4

1. A. Abdollahi and M. Jazaeri, Integral graphs with distinct eigenvalues, Ars Combin., 140 (2018) 351–357. PDF
2. A. Abdollahi, Groups of prime power orders covered by a certain number of proper subgroups, Bull. Iran. Math. Soc., 44 No. 4 (2018) 1067–1068. PDF
3. A. Abdollahi and Z. Taheri, Zero divisors and units with small supports in group algebras of torsion-free groups, Comm. Algebra, 46 No. 2 (2018) 887–925. PDF
4. A. Abdollahi and M. Arezoomand, Finite nilpotent groups that coincide with their 2-closures in all of their faithful permutation representations, J. Algebra Appl., 17 No. 4 (2018) 1850065. PDF

2017 8

1. A. Abdollahi and H. Mousavi, Finite nilpotent groups whose cyclic subgroups are TI-subgroups, Bull. Malays. Math. Sci. Soc., 40 (2017) 1577–1589. PDF
2. A. Abdollahi, B. Daoud, M. D. G. Farrokhi and Y. Guerboussa, Groups of prime generalized exponent, Int. J. Algebra Comput., 27 No. 7 (2017) 849–862. PDF
3. A. Abdollahi, R. Woodroofe and G. Zaimi, Frankl's Conjecture for subgroup lattices, Electron. J. Combin., 24 No. 3 (2017) #P3.25. PDF
4. A. Abdollahi, M. Ghuedri and Y. Guerboussa, Non-triviality of Tate cohomology for certain classes of finite p-groups, Comm. Algebra, 45 No. 12 (2017) 5188–5192. PDF
5. A. Abdollahi, M. Jazaeri and E. R. van Dam, Distance-regular Cayley graphs with least eigenvalue −2, Des. Codes Cryptogr., 84 No. 1 (2017) 73–85. PDF
6. A. Abdollahi, S. M. Ghoraishi and M. Ahmadi, Finite p-groups with the least number of outer p-automorphisms, J. Algebra Appl., 16 No. 5 (2017) 1750111, 12 pp. PDF
7. A. Abdollahi and S. M. Ghoraishi, On noninner automorphisms of 2-generator finite p-groups, Comm. Algebra, 45 No. 8 (2017) 3636–3642. PDF
8. A. Abdollahi, Sh. Janbaz and M. Ghahramani, A large family of cospectral Cayley graphs over dihedral groups, Discrete Math., 340 (2017) 1116–1121. PDF

2016 2

1. A. Abdollahi, Sh. Janbaz and M. Jazaeri, Groups all of whose undirected Cayley graphs are determined by their spectra, J. Algebra Appl., 15 No. 9 (2016) 1650175, 15 pp. PDF
2. A. Abdollahi and A. Loghman, Cayley graphs isomorphic to the product of two Cayley graphs, Ars Combin., 126 (2016) 301–310. PDF

2015 3

1. A. Abdollahi and M. Zallaghi, Character sums for Cayley graphs, Comm. Algebra, 43 (2015) 5159–5167. PDF
2. A. Abdollahi, Sh. Janbaz and M. R. Oboudi, Distance between spectra of graphs, Linear Algebra Appl., 466 (2015) 401–408. PDF
3. A. Abdollahi, Non-solvable groups generated by involutions in which every involution is left 2-Engel, J. Group Theory, 18 No. 1 (2015) 111–114. PDF

2014 10

1. A. Tavakoli, A. Rejali, A. Yousofzadeh and A. Abdollahi, A note about configuration of a group, MATEMATIKA, 30 No. 2 (2014) 117–121. PDF
2. A. Abdollahi, Sh. Janbaz and M. R. Oboudi, Cospectrality measures of graphs with at most six vertices, J. Algebraic Structures Appl., 1 No. 1 (2014) 57–67. PDF
3. A. Abdollahi and S. M. Ghoraishi, p-Groups for which each outer p-automorphism centralizes only p elements, Glas. Mat., 49(69) (2014) 119–122. PDF
4. A. Abdollahi and Sh. Janbaz, Connected graphs cospectral with a Friendship graph, Trans. Comb., 3 No. 2 (2014) 17–20. PDF
5. A. Abdollahi and M. R. Oboudi, Cospectrality of graphs, Linear Algebra Appl., 451 (2014) 169–181. PDF
6. A. Abdollahi, S. M. Ghoraishi, Y. Guerboussa, M. Reguiat and B. Wilkens, Noninner automorphisms of order p for finite p-groups of coclass 2, J. Group Theory, 17 (2014) 267–272. PDF
7. A. Abdollahi and S. M. Ghoraishi, On noninner 2-automorphisms of finite 2-groups, Bull. Austral. Math. Soc., 90 No. 2 (2014) 227–231. PDF
8. A. Abdollahi and M. Jazaeri, Groups all of whose undirected Cayley graphs are integral, European J. Combin., 38 (2014) 102–109. PDF
9. A. Abdollahi, Groups with maximal irredundant covers and minimal blocking sets, Ars Combin., 113 (2014) 337–339. PDF
10. A. Abdollahi and H. Shahverdi, Non-commuting graphs of nilpotent groups, Comm. Algebra, 42 No. 9 (2014) 3944–3949. PDF

2013 6

1. A. Abdollahi, Sh. Janbaz and M. R. Oboudi, Graphs cospectral with a friendship graph or its complement, Trans. Comb., 2 No. 4 (2013) 37–52. PDF
2. A. Abdollahi and S. M. Ghoraishi, Noninner automorphisms of finite p-groups leaving the center elementwise fixed, Int. J. Group Theory, 2 No. 4 (2013) 17–20. PDF
3. A. Abdollahi, S. M. Ghoraishi and B. Wilkens, Finite p-groups of class 3 have noninner automorphisms of order p, Contrib. Algebra Geom., 54 No. 1 (2013) 363–381. PDF
4. A. Abdollahi and M. Jazaeri, On groups admitting no integral Cayley graphs besides complete multipartite graphs, Appl. Anal. Discrete Math., 7 (2013) 119–128. PDF
5. A. Abdollahi, S. Akbari, H. Dorbidi and H. Shahverdi, Commutativity pattern of finite non-abelian p-groups determine their orders, Comm. Algebra, 41 No. 2 (2013) 451–461. PDF
6. A. Abdollahi and A. Loghman, On one-factorizations of replacement products, Filomat, 27:1 (2013) 57–63. PDF

2012 3

1. A. Abdollahi, Determinants of adjacency matrices of graphs, Trans. Comb., 1 No. 4 (2012) 9–16. PDF
2. A. Abdollahi and H. Shahverdi, Characterization of the alternating group by its non-commuting graph, J. Algebra, 357 (2012) 203–207. PDF
3. A. Tavakoli, A. Abdollahi and H. E. Bell, Rings with a setwise polynomial-like condition, Bull. Iran. Math. Soc., 38 No. 2 (2012) 305–311. PDF

2011 5

1. A. Abdollahi, R. Brandl and A. Tortora, Groups generated by a finite Engel set, J. Algebra, 347 (2011) 53–59. PDF
2. A. Abdollahi and F. G. Russo, On a problem of P. Hall for Engel words, Arch. Math. (Basel), 97 (2011) 407–412. PDF
3. A. Abdollahi, Cohomologically trivial modules over finite groups of prime power order, J. Algebra, 342 (2011) 154–160. PDF
4. A. Abdollahi and E. Vatandoost, Integral quartic Cayley graphs of abelian groups, Electron. J. Combin., 18 (2011) #P89. PDF
5. A. Abdollahi, Engel elements in groups, LMS Lecture Note Series 387, Cambridge Univ. Press, 2011, pp. 94–117. PDF

2010 6

1. A. Abdollahi, A. Faghihi, S. A. Linton and E. A. O'Brien, Finite 3-groups of class 3 whose elements commute with their automorphic images, Arch. Math. (Basel), 95 No. 1 (2010) 1–7. PDF
2. A. Abdollahi and H. Khosravi, Right 4-Engel elements of a group, J. Algebra Appl., 9 (2010) 763–769. PDF
3. A. Abdollahi, Powerful p-groups have noninner automorphisms of order p and some cohomology, J. Algebra, 323 (2010) 779–789. PDF
4. A. Abdollahi and H. Khosravi, On the right and left 4-Engel elements, Comm. Algebra, 38 No. 3 (2010) 933–943. PDF
5. A. Abdollahi, A. Azad, A. Mohammadi Hassanabadi and M. Zarrin, On the clique number of non-commuting graphs of certain groups, Algebra Colloq., 17 No. 4 (2010) 611–620. PDF
6. A. Abdollahi and M. Zarrin, Non-nilpotent graph of a group, Comm. Algebra, 38 No. 12 (2010) 4390–4403. PDF

2009 6

1. A. Abdollahi and E. Vatandoost, Which Cayley graphs are integral?, Electron. J. Combin., 16 (2009) #R122. PDF
2. A. Abdollahi and A. Mohammadi Hassanabadi, Non-cyclic graph associated with a group, J. Algebra Appl., 8 No. 2 (2009) 243–257. PDF
3. A. Abdollahi and A. Tavakoli, A note on centrality in infinite groups, Southeast Asian Bull. Math., 33 (2009) 207–208. PDF
4. A. Abdollahi, H. R. Maimani and R. Torabi, On the automorphism group of a possible symmetric (81,16,3) design, Utilitas Math., 78 (2009) 243–250. PDF
5. A. Abdollahi, A. Rejali and A. Yousofzadeh, Configuration of nilpotent groups and isomorphism, J. Algebra Appl., 8 No. 3 (2009) 339–350. PDF
6. A. Abdollahi, Characterization of SL(2,q) by its non-commuting graph, Beitr. Algebra Geom., 50 No. 2 (2009) 443–448. PDF

2008 7

1. A. Abdollahi, A. Faghihi and A. Mohammadi Hassanabadi, 3-Generator groups whose elements commute with their endomorphic images are abelian, Comm. Algebra, 36 No. 10 (2008) 3783–3791. PDF
2. A. Abdollahi, A. Faghihi and A. Mohammadi Hassanabadi, Minimal number of generators and minimum order of a non-Abelian group whose elements commute with their endomorphic images, Comm. Algebra, 36 No. 5 (2008) 1976–1987. PDF
3. A. Abdollahi, M. J. Ataei and A. Mohammadi Hassanabadi, Minimal blocking sets in PG(n,2) and covering groups by subgroups, Comm. Algebra, 36 No. 2 (2008) 365–380. PDF
4. A. Abdollahi, Commuting graphs of full matrix rings over finite fields, Linear Algebra Appl., 428 (2008) 2947–2954. PDF
5. A. Abdollahi, 1-factorizations of Cayley graphs, Ars Combin., 86 (2008) 129–131. PDF
6. A. Abdollahi and H. R. Maimani, A new technique for constructing pairwise balanced designs from groups, Ars Combin., 86 (2008) 409–413. PDF
7. A. Abdollahi and S. M. Jafarian Amiri, Minimal coverings of completely reducible groups, Publ. Math. Debrecen, 72/1-2 (2008) 167–172. PDF

2007 7

1. A. Abdollahi, Engel graph associated with a group, J. Algebra, 318 (2007) 680–691. PDF
2. A. Abdollahi, A combinatorial property of Burnside varieties of groups, Ischia Group Theory 2006, World Sci. Publ., 2007, pp. 1–6. PDF
3. A. Abdollahi and S. M. Jafarian Amiri, On groups with an irredundant 7-cover, J. Pure Appl. Algebra, 209 (2007) 291–300. PDF
4. A. Abdollahi, S. M. Jafarian Amiri and A. Mohammadi Hassanabadi, Groups with specific number of centralizers, Houston J. Math., 33 No. 1 (2007) 43–57. PDF
5. A. Abdollahi, Finite p-groups of class 2 have noninner automorphisms of order p, J. Algebra, 312 (2007) 876–879. PDF
6. A. Abdollahi and A. Mohammadi Hassanabadi, Non-cyclic graph of a group, Comm. Algebra, 35 (2007) 2057–2081. PDF
7. A. Abdollahi, F. Ashraf and S. M. Shaker, The symmetric group of degree six can be covered by 13 and no fewer proper subgroups, Bull. Malays. Math. Sci. Soc., 30 No. 1 (2007) 57–58. PDF

2006 4

1. A. Abdollahi, B. Daoud and G. Endimioni, Groupes n-abeliens generalises, Bull. Belg. Math. Soc., 13 No. 2 (2006) 287–294. PDF
2. A. Abdollahi, Groupes satisfaisant une condition de nilpotence, Math. Reports (Bucureşti), 8 (58) No. 4 (2006) 385–389. PDF
3. A. Abdollahi, A. Azad, A. Mohammadi Hassanabadi and M. Zarrin, B. H. Neumann's question on ensuring commutativity of finite groups, Bull. Austral. Math. Soc., 74 (2006) 121–132. PDF
4. A. Abdollahi, S. Akbari and H. R. Maimani, Non-commuting graph of a group, J. Algebra, 298 (2006) 468–492. PDF

2005 6

1. A. Abdollahi, Groupes satisfaisant une condition d'Engel, J. Algebra, 283 No. 2 (2005) 431–446. PDF
2. A. Abdollahi and S. Akbari, Rings virtually satisfying a polynomial identity, J. Pure Appl. Algebra, 198 (2005) 9–19. PDF
3. A. Abdollahi and G. Endimioni, On conditions for an endomorphism to be an automorphism, Algebra Colloq., 12 No. 4 (2005) 709–714. PDF
4. A. Abdollahi, M. J. Ataei, S. M. Jafarian Amiri and A. Mohammadi Hassanabadi, Groups with a maximal irredundant 6-cover, Comm. Algebra, 33 No. 9 (2005) 3225–3238. PDF
5. A. Abdollahi and A. Mohammadi Hassanabadi, 3-rewritable nilpotent 2-groups of class 2, Comm. Algebra, 33 No. 5 (2005) 1417–1425. PDF
6. A. Abdollahi and A. Rejali, Paradoxical decomposition of semigroups, Semigroup Forum, 71 (2005) 471–480. PDF

2004 5

1. A. Abdollahi, Powers of a product of commutators as products of squares, Int. J. Math. Math. Sci., 2004:7 (2004) 373–375. PDF
2. A. Abdollahi, Left 3-Engel elements in groups, J. Pure Appl. Algebra, 188 (2004) 1–6. PDF
3. A. Abdollahi and A. Mohammadi Hassanabadi, Characterization of abelian-by-cyclic 3-rewritable groups, Rend. Sem. Mat. Univ. Padova, 112 (2004) 173–180. PDF
4. A. Abdollahi and A. Mohammadi Hassanabadi, Finite groups with a certain number of elements pairwise generating a non-nilpotent subgroup, Bull. Iran. Math. Soc., 30 No. 2 (2004) 1–20. PDF
5. A. Abdollahi, A. Rejali and G. A. Willis, Group properties characterised by configurations, Illinois J. Math., 48 No. 3 (2004) 861–873. PDF

2003 1

1. A. Abdollahi, Certain locally nilpotent varieties of groups, Bull. Austral. Math. Soc., 67 (2003) 115–119. PDF

2002 3

1. A. Abdollahi, A combinatorial problem in infinite groups, Bull. Malays. Math. Sci. Soc. (2), 25 (2002) 101–114. PDF
2. A. Abdollahi and N. Trabelsi, Quelques extensions d'un probleme de Paul Erdős sur les groupes, Bull. Belg. Math. Soc., 9 (2002) 205–215. PDF
3. A. Abdollahi and G. Traustason, On locally finite p-groups satisfying an Engel condition, Proc. Amer. Math. Soc., 130 (2002) 2827–2836. PDF

2001 4

1. A. Abdollahi, Some Engel conditions on finite subsets of certain groups, Houston J. Math., 73 No. 3 (2001) 511–522. PDF
2. A. Abdollahi and A. Mohammadi Hassanabadi, A permutability problem in infinite groups and Ramsey's theorem, Bull. Austral. Math. Soc., 64 No. 1 (2001) 27–31. PDF
3. A. Abdollahi, A. Mohammadi Hassanabadi and B. Taeri, An n-rewritability criterion for infinite groups, Comm. Algebra, 29 No. 4 (2001) 1571–1581. PDF
4. A. Abdollahi and B. Taeri, On a class of infinite rings, Algebra Colloq., 8 No. 2 (2001) 153–157. PDF

2000 4

1. A. Abdollahi, Infinite groups with an Engel condition on infinite subsets, Bull. Iran. Math. Soc., 26 No. 1 (2000) 73–78. PDF
2. A. Abdollahi, Finitely generated soluble groups with an Engel condition on infinite subsets, Rend. Sem. Mat. Univ. Padova, 103 (2000) 47–49. PDF
3. A. Abdollahi, Some Engel conditions on infinite subsets of certain groups, Bull. Austral. Math. Soc., 62 (2000) 141–148. PDF
4. A. Abdollahi and B. Taeri, A condition on a certain variety of groups, Rend. Sem. Mat. Univ. Padova, 104 (2000) 129–134. PDF

1999 4

1. A. Abdollahi, A characterization of infinite 3-abelian groups, Arch. Math. (Basel), 73 No. 2 (1999) 104–108. PDF
2. A. Abdollahi, A. Mohammadi Hassanabadi and B. Taeri, A property equivalent to n-permutability for infinite groups, J. Algebra, 221 (1999) 570–578. PDF
3. A. Abdollahi and B. Taeri, Some conditions on infinite subsets of infinite groups, Bull. Malaysian Math. Soc. (2), 22 No. 1 (1999) 87–93. PDF
4. A. Abdollahi and B. Taeri, A condition on finitely generated soluble groups, Comm. Algebra, 27 No. 11 (1999) 5633–5638. PDF

1998 1

1. A. Abdollahi and A. Mohammadi Hassanabadi, A characterization of infinite abelian groups, Bull. Iran. Math. Soc., 24 No. 2 (1998) 41–48. PDF

Selected presentations (1998–2020):

• 1998 — Integral of a group, 29th Iranian International Conference on Mathematics, Amirkabir University of Technology, Tehran.
• 1999 — An Engel condition on certain residually finite groups, 30th Iranian International Conference on Mathematics, University of Mohaghegh Ardebili.
• 2000 — A characterization of the Levi property generated by a variety, 12th Iranian Algebra Seminar, Shahid Beheshti University.
• 2002 — 4-Engel groups and certain locally nilpotent varieties of groups (Invited Speaker), 14th Iranian Algebra Seminar, Azzahra University.
• 2002 — 3-rewritable nilpotent 2-groups, International Congress of Mathematicians, Beijing, China.
• 2004 — Infinite Ramsey's theorem and its applications in group theory (Invited one-hour talk), IPM, Tehran.
• 2005 — Rings in which a given polynomial has many solutions, 35th Annual Iranian Mathematics Conference, Ahvaz.

M.Sc. Students

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 non-torsion 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 p-groups (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) — Sequenceability of groups (Supervisor)
15. R. Niazi (2005) — 3-rewritable groups (Advisor)
16. F. Ashraf (2006) — Groups which are 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) — 9-centralizers groups (Supervisor)
19. E. Nasibi (2009) — Groups with given central automorphism of groups (Supervisor)

Ph.D. Students

For a complete list of supervised Ph.D. students and the titles of their theses, please visit the Mathematics Genealogy Project:

Mathematics Genealogy Project — Alireza Abdollahi (ID 14130)

Iranian Group Theorists

The Mathematics Genealogy Project maintains a directory of mathematicians who received their Ph.D. in Iran with a thesis in Group Theory and Generalizations (MSC 20). Because the project does not provide permanent links for search results, please use the search page below and select the following criteria:

World Group Theorists

A global directory of mathematicians whose Ph.D. thesis belongs to Group Theory and Generalizations (MSC 20). Again, please use the search page below and select the corresponding criterion: