On inner automorphisms and certain central automorphisms of groups.
type: Item
instance of: scholarly article
title: On inner automorphisms and certain central automorphisms of groups.
zbMATH Open document ID: 1316.20042
author: Zahedeh Azhdari
author: Mehri Akhavan-Malayeri
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2015-03-25T00:00:00Z
review text: Let \(G\) be a group and \(M,N\trianglelefteq G\). By definition an automorphism \(\alpha\) of \(G\) belongs to \(\Aut^M_N(G)\) if and only if \(g^{-1}g^\alpha\in M\) for all \(g\in G\) and \(\alpha\) fixes \(N\) elementwise. The paper under review is devoted to the study of groups \(G\) in which one of the following holds: \(\mathrm{Inn}(G)=\Aut^M_N(G)\), \(\mathrm{Inn}(G)\leq\Aut^M_N(G)\) or \(\mathrm{Inn}(G)\geq\Aut^M_N(G)\).
reviewed by: Enrico Jabara
Mathematics Subject Classification ID: 20F28
Mathematics Subject Classification ID: 20E36
zbMATH DE Number: 6419408
zbMATH Keywords: inner automorphisms
zbMATH Keywords: central automorphisms
zbMATH Keywords: infinitely generated groups
MaRDI profile type: Publication
full work available at URL: s13226-014-0069-4
OpenAlex ID: W2139859447
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DOI: 10.1007/S13226-014-0069-4
description: scientific article; zbMATH DE number 6419408