2 papers
math.GR2014
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…
math.GR2010
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…