Groups with a nilpotent-by-finite triple factorization
type: Item
instance of: scholarly article
title: Groups with a nilpotent-by-finite triple factorization
zbMATH Open document ID: 0629.20016
DOI: 10.1007/BF01198622
author: Norbert Halbritter
published in: Archiv der Mathematik
publication date: 1988-01-01T00:00:00Z
review text: In many papers on factorized groups one has to study groups \(G=HK=HA=KA\) which have a triple factorization as a product of two subgroups H and K and a normal subgroup A of G. Therefore it is of particular interest to know whether G satisfies some nilpotency requirement whenenver the three subgroups H, K and A satisfy this same nilpotency requirement. A positive answer to this problem is given for the classes of finite-by-nilpotent and nilpotent-by-finite groups provided that G satisfies certain finiteness conditions. The proofs of this paper make use of cohomology theory.
Mathematics Subject Classification ID: 20F19
Mathematics Subject Classification ID: 20E22
Mathematics Subject Classification ID: 20D40
zbMATH DE Number: 4023559
zbMATH Keywords: factorized groups
zbMATH Keywords: triple factorization
zbMATH Keywords: finite-by-nilpotent
zbMATH Keywords: nilpotent- by-finite groups
zbMATH Keywords: finiteness conditions
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01198622
OpenAlex ID: W2021191890
description: scientific article; zbMATH DE number 4023559