A Note on Absolute Central Automorphisms of Finite $p$-Groups
Author(s):
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
Let $G$ be a finite group. The automorphism $sigma$ of a group $G$ is said to be an absolute central automorphism, if for all $xin G$, $x^{-1}x^{sigma}in L(G)$, where $L(G)$ be the absolute centre of $G$. In this paper, we study some properties of absolute central automorphisms of a given finite $p$-group.
Keywords:
Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:17 Issue: 2, Nov 2022
Pages:
97 to 108
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