# Automorphism Group of Certain Power Graphs of Finite Groups

Ali Reza Ashrafi • Ahmad Gholami • Zeinab Mehranian

## Abstract

The power graph $\mathcal{P}(G)$ of a group $G$ is the graphwith group elements as vertex set and two elements areadjacent if one is a power of the other. The aim of this paper is to compute the automorphism group of the power graph of several well-known and important classes of finite groups.

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