Powerful 2-Engel groups. II.
type: Item
instance of: scholarly article
title: Powerful 2-Engel groups. II.
zbMATH Open document ID: 1162.20025
author: Gunnar Traustason
published in: Journal of Algebra
publication date: 2008-07-11T00:00:00Z
full work available at URL: paper23.pdf
review text: This is a continuation of work begun in part I [\textit{P. Moravec} and \textit{G. Traustason}, Commun. Algebra 36, No. 11, 4096-4119 (2008; Zbl 1159.20017)]; powerful groups of class three are considered all of whose powerful proper subgroups have class two. In this part the groups with the condition \(G_3=(G')^3\) are specified. A family of groups and one isolated example (of rank 5 and exponent 27) are obtained.
reviewed by: Hermann Heineken
Mathematics Subject Classification ID: 20F45
Mathematics Subject Classification ID: 20D15
Mathematics Subject Classification ID: 20F14
Mathematics Subject Classification ID: 20F12
zbMATH DE Number: 5300810
zbMATH Keywords: 2-Engel groups
zbMATH Keywords: powerful \(p\)-groups
zbMATH Keywords: powerful \(3\)-groups
MaRDI profile type: Publication
OpenAlex ID: W1987581730
cites work: On locally finite 𝑝-groups satisfying an Engel condition
cites work: Q5840069
cites work: Powerful \(p\)-groups. I: Finite groups.
cites work: Q3378959
cites work: Powerful 2-Engel Groups
DOI: 10.1016/J.JALGEBRA.2007.08.028
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description: scientific article; zbMATH DE number 5300810