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

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.