A Note on Finite Groups Whose Power Graph is a Commuting Graph

Doostabadi, Alireza

doi:10.22034/cas.2022.338526.1015

A Note on Finite Groups Whose Power Graph is a Commuting Graph

Document Type : Short Communications

Author

Alireza Doostabadi

Faculty of Sciences, University of Zabol, Zabol, Iran

https://doi.org/10.22034/cas.2022.338526.1015

Abstract

Let G be a finite group. The power graph of the group G, denoted by P(G), is a graph such that its vertex set is the group G and two distinct elements x,y are adjacent if and only if x = yⁿ or y = xⁿfor some positive integer n. The purpose of this paper is to study finite groups such that their commuting graph is a power graph.

Graphical Abstract