5 citations · 7 across the 5 of their papers we have counts for
5 papers
Upper Bounds For The Diameter Of A Direct Power Of Solvable Groups
Azizollah Azad, Nasim Karimi
Let G be a finite group with a generating set A. By the (symmetric) diameter of G with respect to A we mean the maximum over g in G of the length of the shortest word in (A union A…
Maximal subset of pairwise non-commuting elements of finite minimal non-Abelian groups
S. Fouladi, R. Orfi, A. Azad
Let G be a group. A subset X of G is a set of pairwise non-commuting elements if xy is not equal to yx for any two distinct elements x and y in X. If |X|>=|Y| for any other set of…
Nilpotent covers and non-nilpotent subsets of finite groups of Lie type
Azizollah Azad, John R. Britnell, Nick Gill
Let be a finite group, and an element of . A subgroup of is said to be {\it -nilpotent} if it is nilpotent, and has nilpotency class a…
Abelian coverings of finite general linear groups and an application to their non-commuting graph
A. Azad, M. A. Iranmanesh, C. E. Praeger +1
In this paper we introduce and study a family of abelian subgroups of $\GL_n(q)$ covering every element of $\GL_n(q)$. We show that contains a…
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…