10 citations · 21 across the 6 of their papers we have counts for
5 papers · 1 filter
When right n-Engel elements of a group form a subgroup?
A. Abdollahi, H. Khosravi
Let denotes the set of all right -Engel elements of a group . We show that in any group whose 5th term of lower central series has no element of order 2, $R_3(G)…
On the clique number of non-commuting graphs of certain groups
A. Abdollahi, A. Azad, A. Mohammadi Hassanabadi +1
Let be a non-abelian group. The non-commuting graph of is defined as the graph whose vertex set is the non-central elements of and two vertices are join…
On the right and left 4-Engel elements
A. Abdollahi, H. Khosravi
In this paper we study left and right 4-Engel elements of a group. In particular, we prove that is nilpotent of class at most 4, whenever is any element and $b^{\pm…
Groups with maximal irredundant covers and minimal blocking sets
Alireza Abdollahi
Let be a positive integer. Denote by the -dimensional projective space over the finite field of order . A blocking set in $\mathrm{PG}(n…
Powerful -groups have noninner automorphisms of order and some cohomology
Alireza Abdollahi
In this paper we study the longstanding conjecture of whether there exists a noninner automorphism of order for a finite non-abelian -group. We prove that if is a finite…