ACENTRALIZERS OF GROUPS OF ORDER p3

Document Type : Original Manuscript

Authors

Department of Mathematical Sciences, Isfahan University of Technology, P. O. Box 84156-83111, Isfahan, Iran.

Abstract

‎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∈G∣α(g)=g}‎.
‎In this paper we determine the acentralizers of groups of order p3‎, ‎where p is a prime number.

Keywords

References

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Journal of Algebraic Systems
Volume 11, Issue 1
September 2023
Pages 37-43

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