A note on Lie centrally metabelian group algebras
type: Item
instance of: scholarly article
title: A note on Lie centrally metabelian group algebras
zbMATH Open document ID: 0889.16013
author: Meena Sahai
author: J. B. Srivastava
published in: Journal of Algebra
publication date: 1997-07-07T00:00:00Z
review text: Let \(K\) be a field with characteristic 3, \(G\) be a non-Abelian group and let \(L(KG)\) denote the associated Lie algebra of the group algebra \(KG\). The authors prove that \(L(KG)\) is centrally metabelian if and only if the commutator subgroup \(G'\) is of order 3. This result settles completely the characterization of the Lie centrally metabelian group algebras \(KG\) with \(\text{char }K\neq 2\).
Mathematics Subject Classification ID: 16S34
Mathematics Subject Classification ID: 16W10
Mathematics Subject Classification ID: 20C05
Mathematics Subject Classification ID: 17B05
zbMATH DE Number: 1014028
zbMATH Keywords: associated Lie algebras
zbMATH Keywords: commutator subgroups
zbMATH Keywords: Lie centrally metabelian group algebras
reviewed by: S. V. Mihovski
MaRDI profile type: Publication
full work available at URL: jabr.1997.6354
OpenAlex ID: W2001180091
Wikidata QID: Q115395987
cites work: Q3728186
cites work: Lie centrally metabelian group rings
DOI: 10.1006/JABR.1997.6354
description: scientific article; zbMATH DE number 1014028