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The full automorphism group of the power (di)graph of a finite group

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arxiv 1406.2788 v1 pith:FSCJ7E2Z submitted 2014-06-11 math.GR

classification math.GR
keywords groupautomorphismfinitefullgraphpowerapplicationconjecture
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We describe the full automorphism group of the power (di)graph of a finite group. As an application, we solve a conjecture proposed by Doostabadi, Erfanian and Jafarzadeh in 2013.

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