Presentations of the special and general linear groups
type: Item
instance of: scholarly article
title: Presentations of the special and general linear groups
zbMATH Open document ID: 0815.20021
author: Theresa A. Francis
published in: Journal of Algebra
publication date: 1995-07-05T00:00:00Z
review text: The author gives basis free presentations for the special linear group \(\text{SL}_ n(R)\), where \(R\) is a field, and for the general linear group \(\text{GL}_ n(R)\), where \(R\) is a skewfield. She compares her presentations with those given by Böge (1967) and Ellers (1978) for \(\text{SL}_ n(R)\) and \(\text{GL}_ n(R)\), respectively, and comes to the conclusion that her presentations are easier to work with.
Mathematics Subject Classification ID: 20F05
Mathematics Subject Classification ID: 20G35
Mathematics Subject Classification ID: 20G15
zbMATH DE Number: 701288
zbMATH Keywords: presentations
zbMATH Keywords: special linear group
zbMATH Keywords: general linear group
reviewed by: Erich W. Ellers
MaRDI profile type: Publication
full work available at URL: jabr.1994.1320
OpenAlex ID: W2019878047
DOI: 10.1006/JABR.1994.1320
description: scientific article; zbMATH DE number 701288