On the normal subgroups of GL(2,A)
type: Item
instance of: scholarly article
title: On the normal subgroups of GL(2,A)
zbMATH Open document ID: 0726.20033
DOI: 10.1016/0021-8693(90)90297-2
published in: Journal of Algebra
publication date: 1990-01-01T00:00:00Z
review text: For a commutative local ring A, the authors determine the normal subgroups of the general linear group GL(2,A). Since every Artinian commutative ring A is a finite direct sum of local rings they are also able to derive a description for all normal subgroups of GL(2,A) for an Artinian ring A.
Mathematics Subject Classification ID: 20H25
Mathematics Subject Classification ID: 20E07
Mathematics Subject Classification ID: 20E15
Mathematics Subject Classification ID: 20G35
zbMATH DE Number: 4198328
zbMATH Keywords: commutative local ring
zbMATH Keywords: normal subgroups
zbMATH Keywords: general linear group
zbMATH Keywords: Artinian ring
author: Douglas L. Costa
author: Gordon E. Keller
reviewed by: Huberta Lausch
MaRDI profile type: Publication
full work available at URL: 0021-8693(90)90297-2
OpenAlex ID: W2043050411
cites work: On the normal subgroups of SL(2,A)
cites work: Lineare Gruppen Uber Lokalen Ringen
cites work: Two-Dimensional Linear Groups Over Local Rings
description: scientific article; zbMATH DE number 4198328