Lie centre-by-metabelian group algebras in even characteristic. II
type: Item
instance of: scholarly article
title: Lie centre-by-metabelian group algebras in even characteristic. II
zbMATH Open document ID: 0947.16017
DOI: 10.1007/BF02810581
author: Richard Rossmanith
published in: Israel Journal of Mathematics
publication date: 2000-08-17T00:00:00Z
review text: This paper is the second in a series and completes the classification of group algebras that are Lie center-by-metabelian. Part I [see the preceding item Zbl 0947.16016] is devoted to groups of class 2 and to groups with commutator subgroup of exponent 2. Part II deals with the remaining possibilities and, at some point in the argument, uses a computer program implemented in GAP to classify certain structures when \(|G'|=8\) or 16.
Mathematics Subject Classification ID: 16S34
Mathematics Subject Classification ID: 17B30
Mathematics Subject Classification ID: 16W10
Mathematics Subject Classification ID: 20C07
Mathematics Subject Classification ID: 20C05
zbMATH DE Number: 1436099
zbMATH Keywords: centre-by-metabelian group algebras
zbMATH Keywords: Lie solvable group algebras
zbMATH Keywords: Lie products
zbMATH Keywords: Lie ideals
zbMATH Keywords: characteristic 2
zbMATH Keywords: Abelian subgroups of finite index
reviewed by: D. S. Passman
Wikidata QID: Q115391563
describes a project that uses: GAP
describes a project that uses: Cayley
MaRDI profile type: Publication
cites work: Q4220539
cites work: Q5577154
cites work: Endliche Gruppen I
cites work: Lie centrally metabelian group rings in characteristic 3
cites work: Q4161846
cites work: Q3810818
cites work: Lie Solvable Group Rings
cites work: Q4398488
cites work: A note on Lie centrally metabelian group algebras
cites work: Lie centrally metabelian group rings
description: scientific article; zbMATH DE number 1436099