Small systems of generators of isotropic unitary groups over finite fields of characteristic not two
type: Item
instance of: scholarly article
title: Small systems of generators of isotropic unitary groups over finite fields of characteristic not two
zbMATH Open document ID: 0594.20041
DOI: 10.1016/0021-8693(85)90163-2
author: Hiroyuki Ishibashi
published in: Journal of Algebra
publication date: 1985-01-01T00:00:00Z
review text: Let K be a finite field of characteristic not two and V a finite- dimensional vector space over K endowed with a sesquilinear form f. Assume the Witt index of f is at least 1. The author shows that the unitary group U(V) and the orthogonal group O(V) are generated by three elements, the symplectic group Sp(V) is generated by two elements.
Mathematics Subject Classification ID: 20G40
Mathematics Subject Classification ID: 20F05
Mathematics Subject Classification ID: 51F25
zbMATH DE Number: 3955227
zbMATH Keywords: finite-dimensional vector space
zbMATH Keywords: sesquilinear form
zbMATH Keywords: Witt index
zbMATH Keywords: unitary group
zbMATH Keywords: orthogonal group
zbMATH Keywords: symplectic group
reviewed by: Erich W. Ellers
MaRDI profile type: Publication
full work available at URL: 0021-8693(85)90163-2
OpenAlex ID: W1973532232
cites work: Q3228640
cites work: Decomposition of orthogonal, symplectic, and unitary isometries into simple isometries
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cites work: Unitary groups with excellent S and entire E(u,L)
cites work: Unitary groups over local rings
description: scientific article; zbMATH DE number 3955227