Groups with some central automorphisms fixing the central kernel quotient

Let $G$ be a group. An automorphism $\alpha$ of a group $G$ is called a central automorphism, if $x^{-1}x^{\alpha}\in Z(G)$ for all $x\in G$. Let $L_c(G)$ be the central kernel of $G$, that is the set of elements of $G$ fixed by all central  automorphisms of $G$ and $Aut_{L_c}(G)$ denote the group o...

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Bibliographic Details
Main Author: Rasoul Soleimani
Format: Article
Language:English
Published: Shahid Bahonar University of Kerman 2023-05-01
Series:Journal of Mahani Mathematical Research
Subjects:
Online Access:https://jmmrc.uk.ac.ir/article_3421_949ff5af037e0f3f77967ea9b997d3aa.pdf