This analysis determines acentralizers in groups of order p cubed, suggesting insights into group structure and automorphisms.
Suppose that G is a finite group. The acentralizer CG(α) of an automorphism α of G,is defined as the subgroup of fixed points of α, that is CG(α)= ∈ G α(g)=g\.In this paper we determine the acentralizers of groups of order p³, where p is a prime number.
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MOZAFAR et al. (2023) studied this question.
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