Two-element generation of orthogonal groups over finite fields
type: Item
instance of: scholarly article
title: Two-element generation of orthogonal groups over finite fields
zbMATH Open document ID: 0805.20039
author: Hiroyuki Ishibashi
author: Andrew G. Earnest
published in: Journal of Algebra
publication date: 1994-12-19T00:00:00Z
review text: Let \(K\) be a finite field of characteristic \(p\), \(V\) a nonsingular quadratic space over \(K\), and \(O_ n(V)\) the orthogonal group for \(V\). The authors show that \(O_ n(V)\) is generated by two elements, except possibly when \(n = 2\) and \(p = 2\), or \(n = 4\) and \(| K| = 3\). This result generalizes and refines a previous result of the first author.
Mathematics Subject Classification ID: 20G40
Mathematics Subject Classification ID: 20F05
zbMATH DE Number: 589932
zbMATH Keywords: finite field
zbMATH Keywords: quadratic space
zbMATH Keywords: orthogonal group
zbMATH Keywords: generated by two elements
reviewed by: Erich W. Ellers
MaRDI profile type: Publication
full work available at URL: jabr.1994.1103
OpenAlex ID: W1985683550
DOI: 10.1006/JABR.1994.1103
description: scientific article; zbMATH DE number 589932