On the coprime power graph of groups II

Abstract The power graph of a group <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <m:mi mathvariant="script">G</m:mi> </m:math> is a simple graph with vertex set <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <m:mi mathvariant="script">G</m:mi> </m:math> , where two vertices are adjacent if one is a power of the other. Recently, we introduced the co-prime power graph as a generalization of the power graph. In this paper, we propose a modified and more appropriate version of the co-prime power graph and establish several results concerning its structure and properties.