Commuting Conjugacy Class Graph of The Finite $2-$Groups $G_n(m)$ and $G[n]$
Autor: | Mohammad Ali Salahshour, Ali Reza Ashrafi |
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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 $G[n]$. |
Databáze: | Directory of Open Access Journals |
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