Automorphisms of direct products of finite groups. II.
type: Item
instance of: scholarly article
title: Automorphisms of direct products of finite groups. II.
zbMATH Open document ID: 1185.20023
author: J. N. S. Bidwell
published in: Archiv der Mathematik
publication date: 2008-09-12T00:00:00Z
review text: The main theorem describes the automorphism group of an arbitrary finite direct product \(G=H_1^{\beta_1}\times\cdots\times H_n^{\beta_n}\), where the \(H_i\) are all distinct and indecomposable and \(\beta_i\geq 1\) (\(1\leq i\leq n\)). The result generalizes previous work of \textit{J. N. S. Bidwell, M. J. Curran} and \textit{D. J. McCaughan} on \(\Aut(H\times K)\), where \(H\) and \(K\) have no common direct factor [part I, Arch. Math. 86, No. 6, 481-489 (2006; Zbl 1103.20016)].
reviewed by: N. Yu. Makarenko
Mathematics Subject Classification ID: 20D45
Mathematics Subject Classification ID: 20D60
zbMATH DE Number: 5343881
zbMATH Keywords: automorphisms
zbMATH Keywords: direct products
zbMATH Keywords: finite groups
zbMATH Keywords: directly indecomposable groups
zbMATH Keywords: direct factors
describes a project that uses: GAP
MaRDI profile type: Publication
full work available at URL: s00013-008-2653-5
OpenAlex ID: W1980511004
DOI: 10.1007/S00013-008-2653-5
description: scientific article; zbMATH DE number 5343881