Automorphism group of certain power graphs of finite groups

Ali Reza Ashrafi, Ahmad Gholami, Zeinab Mehranian


The power graph $\mathcal{P}(G)$ of a group $G$ is the graph
with group elements as vertex set and two elements are
adjacent 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.


power graph, automorphism group.

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