Title of article :
Commuting Conjugacy Class Graph of G when G / Z(G)~=D2n
Author/Authors :
Salahshour, Mohammad Ali 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 :
Commuting conjugacy class graph , Conjugacy classes , Center , Centralizer , Normalizer , CA-Group
Journal title :
Mathematics Interdisciplinary Research