ACENTRALIZERS OF GROUPS OF ORDER p3 | ||
| Journal of Algebraic Systems | ||
| دوره 11، شماره 1، آذر 2023، صفحه 37-43 اصل مقاله (121.81 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2022.11069.1547 | ||
| نویسندگان | ||
| Zahra Mozafar؛ Bijan Taeri* | ||
| Department of Mathematical Sciences, Isfahan University of Technology, P. O. Box 84156-83111, Isfahan, Iran. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Automorphism؛ Centralizer؛ Acentralizer؛ Finite group | ||
| مراجع | ||
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6. G. S. Ståhl, J. Laine, and G. Behm, On p-group of low power order, Bachelors thesis, KTH Royal Institute of Technology, 2010. | ||
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