مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

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Information Journal Paper

Title

On autocentral kernel of groups

Pages

  343-352

Abstract

 ‎Let $G$ be a group,  where $\text{Aut}(G)$ denotes the full automorphisms group of $G$  and $L(G)$ represents  the  absolute center of $G.$ An automorphism $\alpha \in \text{Aut}(G)$ is called an autocentral automorphism if $g^{-1}\alpha(g) \in L(G),$ for all $g \in G .$  In this paper, we  introduce the notion of autocentral kernel subgroup for an arbitrary  group $G.$ We then investigate and establish several structural  properties of this subgroup, providing insights into its role within the broader framework of group theory.

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