Document Type : Short Communications

Author

• Alireza Doostabadi

Faculty of Sciences, University of Zabol, Zabol, Iran

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 = xⁿ for 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

Keywords

• Power graph
• Commutative elements
• Commuting graph
• PC-groups