Commuting Conjugacy Class Graph of G when G / Z(G)~=D2n

Document Type : Original Scientific Paper

Author

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

Abstract

Suppose G is a finite non-abelian group and Γ(G) is a simple graph with the non-central conjugacy classes of G as its vertex set. Two different noncentral conjugacy classes C and B are assumed to be adjacent in Γ(G) if and only if there are elements a ε A and b ε B such that ab = ba. This graph is called the commuting conjugacy class graph of G. In this paper, the structure of the commuting conjugacy class graph of a group G with this property that Z(G)/G∼=D_{2n} will be determined.

Keywords


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