On finite dinilpotent groups
type: Item
instance of: scholarly article
title: On finite dinilpotent groups
zbMATH Open document ID: 0784.20012
DOI: 10.1016/0022-4049(93)90027-Q
published in: Journal of Pure and Applied Algebra
publication date: 1993-11-01T00:00:00Z
review text: The following is proved: Let \(G=AB\) be a finite group with nilpotent subgroups \(A\) and \(B\) and let \(N\) be a minimal normal subgroup of \(G\). Then \(AN\) or \(BN\) is nilpotent.
Mathematics Subject Classification ID: 20D40
Mathematics Subject Classification ID: 20D15
Mathematics Subject Classification ID: 20D10
zbMATH DE Number: 427672
zbMATH Keywords: products of finite nilpotent groups
zbMATH Keywords: minimal normal subgroup
author: Stewart Stonehewer
reviewed by: Hermann Heineken
MaRDI profile type: Publication
cites work: A finite \(p\)-group P = AB with Core(A) = Core(B) = \{1\}
cites work: Zur Erweiterungstheorie der endlichen Gruppen.
cites work: Products of finite nilpotent groups
cites work: Endliche Gruppen I
cites work: Über das Produkt von zwei abelschen Gruppen
cites work: Produkte nilpotenter Gruppen
cites work: Zur Struktur mehrfach faktorischer endlicher Gruppen
cites work: On products of nilpotent groups
cites work: Triple factorizations by abelian groups
cites work: Q5331572
cites work: Über Produkte von nilpotenten Gruppen
full work available at URL: 0022-4049(93)90027-q
OpenAlex ID: W1991216193
description: scientific article; zbMATH DE number 427672