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

نویسندگان

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

doi
10.22052/mir.2021.240226.1232
چکیده

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 ∈ A and b ∈ 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.