Some properties of autocentral automorphisms of a group.
type: Item
instance of: scholarly article
title: Some properties of autocentral automorphisms of a group.
zbMATH Open document ID: 1218.20023
published in: Ricerche di Matematica
publication date: 2011-01-25T00:00:00Z
review text: For a given group \(G\) the authors consider the (Abelian) group \(\text{Var}(G)\) consisting of those automorphisms of \(G\) that stabilize the chain \(1<C_G(\Aut(G))<G\), where \(L(G)=C_G(\Aut(G))\). Various conclusions about the structure of \(\text{Var}(G)\) are derived under conditions related to the subgroup \(E(G):=[G,C_{\Aut(G)}(\text{Var}(G))]\).
reviewed by: Marian Deaconescu
Mathematics Subject Classification ID: 20E36
Mathematics Subject Classification ID: 20F28
Mathematics Subject Classification ID: 20D45
zbMATH DE Number: 5841029
zbMATH Keywords: central automorphisms
zbMATH Keywords: absolute centre
zbMATH Keywords: autocentral automorphisms
author: Mohammad Reza R. Moghaddam
author: Hesam Safa
MaRDI profile type: Publication
full work available at URL: s11587-010-0085-6
OpenAlex ID: W2155346301
cites work: Automorphisms of a \(p\)-group
cites work: Cyclic Groups as Autocommutator Groups
cites work: On central automorphisms of infinite groups
cites work: The absolute centre of a group
cites work: Q4537208
cites work: Q3172505
cites work: Q4858090
DOI: 10.1007/S11587-010-0085-6
description: scientific article; zbMATH DE number 5841029