Soluble groups which are products of minimax groups
type: Item
instance of: scholarly article
title: Soluble groups which are products of minimax groups
zbMATH Open document ID: 0617.20016
DOI: 10.1007/BF01187732
author: John S. Wilson
published in: Archiv der Mathematik
publication date: 1988-01-01T00:00:00Z
review text: Some sufficient conditions are given for a soluble group which is a product of two minimax groups H, K to be a minimax group. It is shown in particular that this is the case if one of the subgroups H, K is an extension of its FC-hypercentre by a polycyclic group.
Mathematics Subject Classification ID: 20F16
Mathematics Subject Classification ID: 20E15
Mathematics Subject Classification ID: 20E07
zbMATH DE Number: 4000206
zbMATH Keywords: soluble group
zbMATH Keywords: product of two minimax groups
zbMATH Keywords: FC-hypercentre
zbMATH Keywords: polycyclic group
MaRDI profile type: Publication
cites work: Artinian and Noetherian factorized groups
cites work: Factorizations of infinite soluble groups
cites work: Soluble groups which are products of nilpotent minmax groups
cites work: Q3344108
cites work: Q5654235
cites work: Group rings of polycyclic groups
cites work: On products of soluble groups of finite rank
cites work: Q3905468
full work available at URL: https://doi.org/10.1007/bf01187732
OpenAlex ID: W2021732155
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description: scientific article; zbMATH DE number 4000206