| Authors | Azam Kaheni,Mohammad Mehdi Nasrabadi |
|---|---|
| Conference Title | شانزدهمین کنفرانس بین المللی نظریه گروه های ایران |
| Holding Date of Conference | 2024-02-01 |
| Event Place | تهران |
| Page number | 0-0 |
| Presentation | SPEECH |
| Conference Level | Internal Conferences |
Abstract
Let $G$ be a group, $Aut(G)$ and $L(G)$ denote the full automorphisms group and absolute center of $G$, respectively. An automorphism $\alpha \in Aut(G)$ is called autocentral automorphism if $g^{-1}\alpha(g) \in L(G)$, for all $g \in G $. In this talk, the elements of a group that are fixed by any autocentral automorphism are identified. Moreover, the autocentral kernel of $G$ is introduced and some properties of autocentral automorphisms of $G$ are also given.
tags: Absolute central automorphisms, Absolute centre, Autocentral kernel, Autonilpotent group