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

Author(s):

Mohammadali Salahshour * , Alireza Ashrafi

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

‎Suppose $G$ is a finite non-abelian group and $\Gamma(G)$ is a graph with non-central conjugacy classes of $G$ as its vertex set. Two vertices $L$ and $K$ in $\Gamma(G)$ are adjacent if there are $a \in L$ and $b \in K$ 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 $2-$groups $G_n(m)$ and $G[n]$.

Keywords:

Commuting Conjugacy Class Graph‎ , ‎Conjugacy Class‎ , ‎Center

Language:
English
Published:
Journal of Mahani Mathematical Research, Volume:13 Issue: 2, Summer and Autumn 2024
Pages:
67 to 71
https://www.magiran.com/p2753597