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

Autor: Mohammad Ali Salahshour, Ali Reza Ashrafi
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Journal of Mahani Mathematical Research, Vol 13, Iss 2, Pp 67-71 (2024)
Druh dokumentu: article
ISSN: 2251-7952
2645-4505
59428007
DOI: 10.22103/jmmr.2023.21431.1436
Popis: ‎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 $G[n]$.
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