3 papers
math.GR2025
Non-commuting graph of AC-groups: as matroids
Azizollah Azad, Nasim Karimi, Sakineh Rahbariyan
Let G be a non-abelian group and let Z(G) be the center of G. Associate a graph ΓG (called non-commuting graph of G) as follows: Take G\Z(G) as the vertices of ΓG and join x and y,…
math.GR2023
Diameter of a direct power of alternating groups
A. Azad, N. Karimi
So far, it has been proven that if is an abelian group , then the diameter of with respect to any generating set is ; and if is nilpotent, symmetric or dihedral…
math.GR2015
Diameter of a direct power of a finite group
Nasim Karimi
We present two conjectures concerning the diameter of a direct power of a finite group. The first conjecture states that the diameter of G^n with respect to any generating set is a…