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,…