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

Document Type : Research Paper

Authors

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

2 Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran

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 $G[n]$.

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References

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History

  • Receive Date: 02 May 2023
  • Revise Date: 03 November 2023
  • Accept Date: 11 November 2023

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