Document Type : Original Manuscript
Authors
Department of Mathematical Sciences, Isfahan University of Technology, P. O. Box 84156-83111, Isfahan, Iran.
10.22044/jas.2022.11069.1547
Abstract
Suppose that $G$ is a finite group. The acentralizer $C_G(\alpha)$ of an automorphism $\alpha$ of $G$,
is defined as the subgroup of fixed points of $\alpha$, that is $C_G(\alpha)= \{g \in G \mid \alpha(g)=g\}$.
In this paper we determine the acentralizers of groups of order $p^3$, where $p$ is a prime number.
Keywords
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