What question did this study set out to answer?

The aim is to characterize the acentralizers of finite groups specifically of order p cubed.

June 14, 2026Open Access

ACENTRALIZERS OF GROUPS OF ORDER p3

Key Points

The aim is to characterize the acentralizers of finite groups specifically of order p cubed.
Defined acentralizers using the fixed point concept of an automorphism.
Analyzed groups with the specific structure of order p^3 where p is prime.
Identified unique properties of acentralizers in groups of order p^3.
Provided insights into the subgroup structure related to automorphisms.

Abstract

‎Suppose that G is a finite group. ‎The acentralizer CG () of an automorphism of G‎, ‎is defined as the subgroup of fixed points of ‎, ‎that is CG () = \g G (g) =g\‎. ‎In this paper we determine the acentralizers of groups of order p³‎, ‎where p is a prime number.

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Cite This Study

MOZAFAR et al. (Fri,) studied this question.

synapsesocial.com/papers/6a2e46dbb1cc60ccdea8b827 https://doi.org/https://doi.org/10.22044/jas.2022.11069.1547

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