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## Abdollahi, Alireza

Compute Distance To:
 Author ID: abdollahi.alireza Published as: Abdollahi, A.; Abdollahi, Alireza External Links: MGP
 Documents Indexed: 111 Publications since 1998 Reviewing Activity: 155 Reviews
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all top 5

#### Serials

 18 Communications in Algebra 9 Journal of Algebra 9 Journal of Algebra and its Applications 6 Bulletin of the Iranian Mathematical Society 5 Bulletin of the Australian Mathematical Society 5 Ars Combinatoria 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Transactions on Combinatorics 3 Archiv der Mathematik 3 Journal of Pure and Applied Algebra 3 Rendiconti del Seminario Matematico della Università di Padova 3 Linear Algebra and its Applications 3 Algebra Colloquium 3 The Electronic Journal of Combinatorics 3 Journal of Group Theory 2 Houston Journal of Mathematics 2 Beiträge zur Algebra und Geometrie 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Discrete Mathematics 1 Bulletin of the Malaysian Mathematical Society. Second Series 1 Illinois Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Proceedings of the American Mathematical Society 1 Publicationes Mathematicae 1 Semigroup Forum 1 Utilitas Mathematica 1 Southeast Asian Bulletin of Mathematics 1 European Journal of Combinatorics 1 International Journal of Algebra and Computation 1 Designs, Codes and Cryptography 1 Glasnik Matematički. Serija III 1 Filomat 1 Applicable Analysis and Discrete Mathematics 1 International Journal of Group Theory 1 Algebraic Structures and their Applications
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#### Fields

 85 Group theory and generalizations (20-XX) 34 Combinatorics (05-XX) 10 Associative rings and algebras (16-XX) 3 Abstract harmonic analysis (43-XX) 3 Geometry (51-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Number theory (11-XX)

#### Citations contained in zbMATH Open

80 Publications have been cited 452 times in 302 Documents Cited by Year
Non-commuting graph of a group. Zbl 1105.20016
Abdollahi, A.; Akbari, S.; Maimani, H. R.
2006
Which Cayley graphs are integral? Zbl 1186.05064
Abdollahi, A.; Vatandoost, E.
2009
Commuting graphs of full matrix rings over finite fields. Zbl 1155.16022
Abdollahi, Alireza
2008
Noncyclic graph of a group. Zbl 1131.20016
2007
Groups with specific number of centralizers. Zbl 1123.20018
2007
Finite $$p$$-groups of class 2 have noninner automorphisms of order $$p$$. Zbl 1120.20024
Abdollahi, A.
2007
Powerful $$p$$-groups have non-inner automorphisms of order $$p$$ and some cohomology. Zbl 1193.20024
Abdollahi, Alireza
2010
On locally finite $$p$$-groups satisfying an Engel condition. Zbl 1006.20029
Abdollahi, Alireza; Traustason, Gunnar
2002
Non-nilpotent graph of a group. Zbl 1216.20018
2010
Engel graph associated with a group. Zbl 1136.20034
Abdollahi, Alireza
2007
On the right and left 4-Engel elements. Zbl 1198.20033
Abdollahi, A.; Khosravi, H.
2010
Graphs cospectral with a friendship graph or its complement. Zbl 1302.05083
Abdollahi, Alireza; Janbaz, Shahrooz; Oboudi, Mohammad Reza
2013
Finite $$p$$-groups of class 3 have noninner automorphisms of order $$p$$. Zbl 1269.20021
Abdollahi, Alireza; Ghoraishi, Mohsen; Wilkens, Bettina
2013
Non-cyclic graph associated with a group. Zbl 1183.20021
2009
Left 3-Engel elements in groups. Zbl 1060.20034
Abdollahi, Alireza
2004
A condition of finitely generated soluble groups. Zbl 0942.20014
Abdollahi, Alireza; Taeri, Bijan
1999
Noninner automorphisms of order $$p$$ for finite $$p$$-groups of coclass 2. Zbl 1303.20023
Abdollahi, Alireza; Ghoraishi, Seyed Mohsen; Guerboussa, Yassine; Reguiat, Miloud; Wilkens, Bettina
2014
Engel elements in groups. Zbl 1235.20039
Abdollahi, Alireza
2011
Groups with a maximal irredundant 6-cover. Zbl 1117.20016
Abdollahi, A.; Ataei, M. J.; Jafarian Amiri, S. M.; Mohammadi Hassanabadi, A.
2005
On noninner 2-automorphisms of finite 2-groups. Zbl 1309.20017
Abdollahi, Alireza; Ghoraishi, S. Mohsen
2014
Groups all of whose undirected Cayley graphs are integral. Zbl 1282.05063
Abdollahi, Alireza; Jazaeri, Mojtaba
2014
Determinants of adjacency matrices of graphs. Zbl 1272.05107
Abdollahi, Alireza
2012
Characterization of the alternating group by its non-commuting graph. Zbl 1255.20026
Abdollahi, Alireza; Shahverdi, Hamid
2012
Some Engel conditions on infinite subsets of certain groups. Zbl 0964.20019
Abdollahi, Alireza
2000
Distance between spectra of graphs. Zbl 1303.05110
Abdollahi, Alireza; Janbaz, Shahrooz; Oboudi, Mohammad Reza
2015
On a problem of P. Hall for Engel words. Zbl 1236.20044
Abdollahi, Alireza; Russo, Francesco G.
2011
On the clique numbers of non-commuting graphs of certain groups. Zbl 1227.20021
2010
Configuration of nilpotent groups and isomorphism. Zbl 1190.43001
Abdollahi, A.; Rejali, A.; Yousofzadeh, A.
2009
On groups with an irredundant 7-cover. Zbl 1117.20017
Abdollahi, A.; Jafarian Amiri, S. M.
2007
Cospectrality of graphs. Zbl 1288.05150
2014
Noninner automorphisms of finite $$p$$-groups leaving the center elementwise fixed. Zbl 1306.20022
Abdollahi, A.; Ghoraishi, S. M.
2013
B. H. Neumann’s question on ensuring commutativity of finite groups. Zbl 1108.20020
2006
Group properties characterised by configurations. Zbl 1067.43001
Abdollahi, Alireza; Rejali, Ali; Willis, George A.
2004
A characterization of infinite $$3$$-Abelian groups. Zbl 0936.20038
Abdollahi, Alireza
1999
Commutativity pattern of finite non-Abelian $$p$$-groups determine their orders. Zbl 1276.20019
Abdollahi, A.; Akbari, S.; Dorbidi, H.; Shahverdi, H.
2013
Groups generated by a finite Engel set. Zbl 1248.20043
Abdollahi, Alireza; Brandl, Rolf; Tortora, Antonio
2011
Integral quartic Cayley graphs on Abelian groups. Zbl 1217.05103
Abdollahi, A.; Vatandoost, E.
2011
Right 4-Engel elements of a group. Zbl 1207.20032
Abdollahi, A.; Khosravi, H.
2010
Minimal coverings of completely reducible groups. Zbl 1149.20021
Abdollahi, A.; Jafarian Amiri, S. M.
2008
Minimal number of generators and minimum order of a non-Abelian group whose elements commute with their endomorphic images. Zbl 1156.20019
2008
The symmetric group of degree six can be covered by 13 and no fewer proper subgroups. Zbl 1132.20002
Abdollahi, A.; Ashraf, F.; Shaker, S. M.
2007
3-rewritable nilpotent 2-groups of class 2. Zbl 1088.20007
2005
Some extensions of a problem of Paul Erdős on groups. Zbl 1041.20022
2002
Finitely generated soluble groups with an Engel condition on infinite subsets. Zbl 0966.20019
Abdollahi, Alireza
2000
A property equivalent to $$n$$-permutability for infinite groups. Zbl 0944.20025
1999
Non-triviality of Tate cohomology for certain classes of finite $$p$$-groups. Zbl 1375.20012
Abdollahi, Alireza; Guedri, Maria; Guerboussa, Yassine
2017
Frankl’s conjecture for subgroup lattices. Zbl 1369.06001
Abdollahi, Alireza; Woodroofe, Russ; Zaimi, Gjergji
2017
On noninner automorphisms of 2-generator finite $$p$$-groups. Zbl 1377.20017
Abdollahi, A.; Ghoraishi, S. M.
2017
Distance-regular Cayley graphs with least eigenvalue $$-2$$. Zbl 1367.05098
Abdollahi, Alireza; van Dam, Edwin R.; Jazaeri, Mojtaba
2017
Cayley graphs isomorphic to the product of two Cayley graphs. Zbl 1413.05151
Abdollahi, Alireza; Loghman, Amir
2016
Groups all of whose undirected Cayley graphs are determined by their spectra. Zbl 1346.05156
Abdollahi, Alireza; Janbaz, Shahrooz; Jazaeri, Mojtaba
2016
Non-commuting graphs of nilpotent groups. Zbl 1304.20040
Abdollahi, Alireza; Shahverdi, Hamid
2014
On one-factorizations of replacement products. Zbl 1409.05153
Abdollahi, Alireza; Loghman, Amir
2013
Cohomologically trivial modules over finite groups of prime power order. Zbl 1242.20022
Abdollahi, Alireza
2011
Groups satisfying an Engel condition. Zbl 1116.20030
Abdollahi, Alireza
2005
Powers of a product of commutators as products of squares. Zbl 1070.20038
Abdollahi, Alireza
2004
Some Engel conditions on finite subsets of certain groups. Zbl 0999.20028
Abdollahi, Alireza
2001
A condition on a certain variety of groups. Zbl 1013.20021
Abdollahi, Alireza; Taeri, Bijan
2000
Some conditions on infinite subsets of infinite groups. Zbl 1006.20034
Abdollahi, Alireza; Taeri, Bijan
1999
Cardinality of product sets in torsion-free groups and applications in group algebras. Zbl 07207077
Abdollahi, Alireza; Jafari, Fatemeh
2020
On problems concerning fixed-point-free permutations and on the polycirculant conjecture – a survey. Zbl 07276669
Arezoomand, Majid; Abdollahi, Alireza; Spiga, Pablo
2019
Nonunits of group algebras over the fours group. Zbl 1429.16018
Abdollahi, A.; Zanjanian, S. M.
2019
Zero divisor and unit elements with supports of size 4 in group algebras of torsion-free groups. Zbl 07051459
Abdollahi, Alireza; Jafari, Fatemeh
2019
Zero divisors and units with small supports in group algebras of torsion-free groups. Zbl 1425.20005
Abdollahi, Alireza; Taheri, Zahra
2018
Finite nilpotent groups whose cyclic subgroups are TI-subgroups. Zbl 1403.20029
Abdollahi, Alireza; Mousavi, Hamid
2017
A large family of cospectral Cayley graphs over dihedral groups. Zbl 1357.05056
Abdollahi, Alireza; Janbaz, Shahrooz; Ghahramani, Meysam
2017
Character sums for Cayley graphs. Zbl 1328.20011
Abdollahi, Alireza; Zallaghi, Maysam
2015
On groups admitting no integral Cayley graphs besides complete multipartite graphs. Zbl 1299.05205
Abdollahi, Alireza; Jazaeri, Mojtaba
2013
Finite 3-groups of class 3 whose elements commute with their automorphic images. Zbl 1209.20019
Abdollahi, A.; Faghihi, A.; Linton, S. A.; O’Brien, E. A.
2010
Characterization of $$\text{SL}(2,q)$$ by its non-commuting graph. Zbl 1191.20014
Abdollahi, Alireza
2009
On the automorphism group of a possible symmetric $$(81,16,3)$$ design. Zbl 1273.05014
Abdollahi, A.; Maimani, H. R.; Torabi, R.
2009
$$1$$-factorizations of Cayley graphs. Zbl 1208.20027
Abdollahi, A.
2008
3-generator groups whose elements commute with their endomorphic images are Abelian. Zbl 1155.20029
2008
Generalized $$n$$-Abelian groups. Zbl 1134.20020
Abdollahi, A.; Daoud, B.; Endimioni, G.
2006
Paradoxical decomposition of semigroups. Zbl 1156.43001
Abdollahi, A.; Rejali, A.
2005
On conditions for an endomorphism to be an automorphism. Zbl 1091.20022
Abdollahi, Alireza; Endimioni, Gérard
2005
A permutability problem in infinite groups and Ramsey’s theorem. Zbl 0992.20023
2001
On a class of infinite rings. Zbl 0983.16020
Abdollahi, Alireza; Taeri, Bijan
2001
A combinatorial condition on infinite rings. Zbl 1003.16031
Abdollahi, Alireza; Taeri, Bijan
2000
A characterization of infinite Abelian groups. Zbl 0936.20037
1998
Cardinality of product sets in torsion-free groups and applications in group algebras. Zbl 07207077
Abdollahi, Alireza; Jafari, Fatemeh
2020
On problems concerning fixed-point-free permutations and on the polycirculant conjecture – a survey. Zbl 07276669
Arezoomand, Majid; Abdollahi, Alireza; Spiga, Pablo
2019
Nonunits of group algebras over the fours group. Zbl 1429.16018
Abdollahi, A.; Zanjanian, S. M.
2019
Zero divisor and unit elements with supports of size 4 in group algebras of torsion-free groups. Zbl 07051459
Abdollahi, Alireza; Jafari, Fatemeh
2019
Zero divisors and units with small supports in group algebras of torsion-free groups. Zbl 1425.20005
Abdollahi, Alireza; Taheri, Zahra
2018
Non-triviality of Tate cohomology for certain classes of finite $$p$$-groups. Zbl 1375.20012
Abdollahi, Alireza; Guedri, Maria; Guerboussa, Yassine
2017
Frankl’s conjecture for subgroup lattices. Zbl 1369.06001
Abdollahi, Alireza; Woodroofe, Russ; Zaimi, Gjergji
2017
On noninner automorphisms of 2-generator finite $$p$$-groups. Zbl 1377.20017
Abdollahi, A.; Ghoraishi, S. M.
2017
Distance-regular Cayley graphs with least eigenvalue $$-2$$. Zbl 1367.05098
Abdollahi, Alireza; van Dam, Edwin R.; Jazaeri, Mojtaba
2017
Finite nilpotent groups whose cyclic subgroups are TI-subgroups. Zbl 1403.20029
Abdollahi, Alireza; Mousavi, Hamid
2017
A large family of cospectral Cayley graphs over dihedral groups. Zbl 1357.05056
Abdollahi, Alireza; Janbaz, Shahrooz; Ghahramani, Meysam
2017
Cayley graphs isomorphic to the product of two Cayley graphs. Zbl 1413.05151
Abdollahi, Alireza; Loghman, Amir
2016
Groups all of whose undirected Cayley graphs are determined by their spectra. Zbl 1346.05156
Abdollahi, Alireza; Janbaz, Shahrooz; Jazaeri, Mojtaba
2016
Distance between spectra of graphs. Zbl 1303.05110
Abdollahi, Alireza; Janbaz, Shahrooz; Oboudi, Mohammad Reza
2015
Character sums for Cayley graphs. Zbl 1328.20011
Abdollahi, Alireza; Zallaghi, Maysam
2015
Noninner automorphisms of order $$p$$ for finite $$p$$-groups of coclass 2. Zbl 1303.20023
Abdollahi, Alireza; Ghoraishi, Seyed Mohsen; Guerboussa, Yassine; Reguiat, Miloud; Wilkens, Bettina
2014
On noninner 2-automorphisms of finite 2-groups. Zbl 1309.20017
Abdollahi, Alireza; Ghoraishi, S. Mohsen
2014
Groups all of whose undirected Cayley graphs are integral. Zbl 1282.05063
Abdollahi, Alireza; Jazaeri, Mojtaba
2014
Cospectrality of graphs. Zbl 1288.05150
2014
Non-commuting graphs of nilpotent groups. Zbl 1304.20040
Abdollahi, Alireza; Shahverdi, Hamid
2014
Graphs cospectral with a friendship graph or its complement. Zbl 1302.05083
Abdollahi, Alireza; Janbaz, Shahrooz; Oboudi, Mohammad Reza
2013
Finite $$p$$-groups of class 3 have noninner automorphisms of order $$p$$. Zbl 1269.20021
Abdollahi, Alireza; Ghoraishi, Mohsen; Wilkens, Bettina
2013
Noninner automorphisms of finite $$p$$-groups leaving the center elementwise fixed. Zbl 1306.20022
Abdollahi, A.; Ghoraishi, S. M.
2013
Commutativity pattern of finite non-Abelian $$p$$-groups determine their orders. Zbl 1276.20019
Abdollahi, A.; Akbari, S.; Dorbidi, H.; Shahverdi, H.
2013
On one-factorizations of replacement products. Zbl 1409.05153
Abdollahi, Alireza; Loghman, Amir
2013
On groups admitting no integral Cayley graphs besides complete multipartite graphs. Zbl 1299.05205
Abdollahi, Alireza; Jazaeri, Mojtaba
2013
Determinants of adjacency matrices of graphs. Zbl 1272.05107
Abdollahi, Alireza
2012
Characterization of the alternating group by its non-commuting graph. Zbl 1255.20026
Abdollahi, Alireza; Shahverdi, Hamid
2012
Engel elements in groups. Zbl 1235.20039
Abdollahi, Alireza
2011
On a problem of P. Hall for Engel words. Zbl 1236.20044
Abdollahi, Alireza; Russo, Francesco G.
2011
Groups generated by a finite Engel set. Zbl 1248.20043
Abdollahi, Alireza; Brandl, Rolf; Tortora, Antonio
2011
Integral quartic Cayley graphs on Abelian groups. Zbl 1217.05103
Abdollahi, A.; Vatandoost, E.
2011
Cohomologically trivial modules over finite groups of prime power order. Zbl 1242.20022
Abdollahi, Alireza
2011
Powerful $$p$$-groups have non-inner automorphisms of order $$p$$ and some cohomology. Zbl 1193.20024
Abdollahi, Alireza
2010
Non-nilpotent graph of a group. Zbl 1216.20018
2010
On the right and left 4-Engel elements. Zbl 1198.20033
Abdollahi, A.; Khosravi, H.
2010
On the clique numbers of non-commuting graphs of certain groups. Zbl 1227.20021
2010
Right 4-Engel elements of a group. Zbl 1207.20032
Abdollahi, A.; Khosravi, H.
2010
Finite 3-groups of class 3 whose elements commute with their automorphic images. Zbl 1209.20019
Abdollahi, A.; Faghihi, A.; Linton, S. A.; O’Brien, E. A.
2010
Which Cayley graphs are integral? Zbl 1186.05064
Abdollahi, A.; Vatandoost, E.
2009
Non-cyclic graph associated with a group. Zbl 1183.20021
2009
Configuration of nilpotent groups and isomorphism. Zbl 1190.43001
Abdollahi, A.; Rejali, A.; Yousofzadeh, A.
2009
Characterization of $$\text{SL}(2,q)$$ by its non-commuting graph. Zbl 1191.20014
Abdollahi, Alireza
2009
On the automorphism group of a possible symmetric $$(81,16,3)$$ design. Zbl 1273.05014
Abdollahi, A.; Maimani, H. R.; Torabi, R.
2009
Commuting graphs of full matrix rings over finite fields. Zbl 1155.16022
Abdollahi, Alireza
2008
Minimal coverings of completely reducible groups. Zbl 1149.20021
Abdollahi, A.; Jafarian Amiri, S. M.
2008
Minimal number of generators and minimum order of a non-Abelian group whose elements commute with their endomorphic images. Zbl 1156.20019
2008
$$1$$-factorizations of Cayley graphs. Zbl 1208.20027
Abdollahi, A.
2008
3-generator groups whose elements commute with their endomorphic images are Abelian. Zbl 1155.20029
2008
Noncyclic graph of a group. Zbl 1131.20016
2007
Groups with specific number of centralizers. Zbl 1123.20018
2007
Finite $$p$$-groups of class 2 have noninner automorphisms of order $$p$$. Zbl 1120.20024
Abdollahi, A.
2007
Engel graph associated with a group. Zbl 1136.20034
Abdollahi, Alireza
2007
On groups with an irredundant 7-cover. Zbl 1117.20017
Abdollahi, A.; Jafarian Amiri, S. M.
2007
The symmetric group of degree six can be covered by 13 and no fewer proper subgroups. Zbl 1132.20002
Abdollahi, A.; Ashraf, F.; Shaker, S. M.
2007
Non-commuting graph of a group. Zbl 1105.20016
Abdollahi, A.; Akbari, S.; Maimani, H. R.
2006
B. H. Neumann’s question on ensuring commutativity of finite groups. Zbl 1108.20020
2006
Generalized $$n$$-Abelian groups. Zbl 1134.20020
Abdollahi, A.; Daoud, B.; Endimioni, G.
2006
Groups with a maximal irredundant 6-cover. Zbl 1117.20016
Abdollahi, A.; Ataei, M. J.; Jafarian Amiri, S. M.; Mohammadi Hassanabadi, A.
2005
3-rewritable nilpotent 2-groups of class 2. Zbl 1088.20007
2005
Groups satisfying an Engel condition. Zbl 1116.20030
Abdollahi, Alireza
2005
Paradoxical decomposition of semigroups. Zbl 1156.43001
Abdollahi, A.; Rejali, A.
2005
On conditions for an endomorphism to be an automorphism. Zbl 1091.20022
Abdollahi, Alireza; Endimioni, Gérard
2005
Left 3-Engel elements in groups. Zbl 1060.20034
Abdollahi, Alireza
2004
Group properties characterised by configurations. Zbl 1067.43001
Abdollahi, Alireza; Rejali, Ali; Willis, George A.
2004
Powers of a product of commutators as products of squares. Zbl 1070.20038
Abdollahi, Alireza
2004
On locally finite $$p$$-groups satisfying an Engel condition. Zbl 1006.20029
Abdollahi, Alireza; Traustason, Gunnar
2002
Some extensions of a problem of Paul Erdős on groups. Zbl 1041.20022
2002
Some Engel conditions on finite subsets of certain groups. Zbl 0999.20028
Abdollahi, Alireza
2001
A permutability problem in infinite groups and Ramsey’s theorem. Zbl 0992.20023
2001
On a class of infinite rings. Zbl 0983.16020
Abdollahi, Alireza; Taeri, Bijan
2001
Some Engel conditions on infinite subsets of certain groups. Zbl 0964.20019
Abdollahi, Alireza
2000
Finitely generated soluble groups with an Engel condition on infinite subsets. Zbl 0966.20019
Abdollahi, Alireza
2000
A condition on a certain variety of groups. Zbl 1013.20021
Abdollahi, Alireza; Taeri, Bijan
2000
A combinatorial condition on infinite rings. Zbl 1003.16031
Abdollahi, Alireza; Taeri, Bijan
2000
A condition of finitely generated soluble groups. Zbl 0942.20014
Abdollahi, Alireza; Taeri, Bijan
1999
A characterization of infinite $$3$$-Abelian groups. Zbl 0936.20038
Abdollahi, Alireza
1999
A property equivalent to $$n$$-permutability for infinite groups. Zbl 0944.20025
1999
Some conditions on infinite subsets of infinite groups. Zbl 1006.20034
Abdollahi, Alireza; Taeri, Bijan
1999
A characterization of infinite Abelian groups. Zbl 0936.20037
1998
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