Commuting Conjugacy Class Graph of The Finite 2Groups Gn(m) and G[n]

Document Type : Research Paper

Authors

1 Department of Mathematics, Savadkooh Branch, Islamic Azad University, Savadkooh, Iran

2 Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran

Abstract

‎Suppose G is a finite non-abelian group and Γ(G) is a graph with non-central conjugacy classes of G as its vertex set. Two vertices L and K in Γ(G) are adjacent if there are aL and bK such that ab=ba.    This graph  is called the commuting conjugacy class graph of G.  The purpose of this paper is to compute  the commuting conjugacy class graph of the finite 2groups Gn(m) and G[n].

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