Isomorphisms of unitary groups over associative rings
type: Item
instance of: scholarly article
title: Isomorphisms of unitary groups over associative rings
zbMATH Open document ID: 0566.20033
DOI: 10.1007/BF02105101
published in: Journal of Soviet Mathematics
publication date: 1985-01-01T00:00:00Z
review text: Automorphisms of unitary linear groups U(n,\(\Lambda\),q) over the ring \(\Lambda\) are found to be standard on an elementary unitary subgroup in the case when the hyperbolic rank of the form q is strictly greater than one and \(n\geq 5\) (for a commutative ring, \(n\geq 4)\).
Mathematics Subject Classification ID: 20H25
Mathematics Subject Classification ID: 20F28
zbMATH DE Number: 3902909
zbMATH Keywords: standard automorphisms
zbMATH Keywords: unitary linear groups
zbMATH Keywords: hyperbolic rank
author: Igor Z. Golubchik
author: A. V. Mikhalev
MaRDI profile type: Publication
cites work: Q3310819
cites work: Isomorphisms of a complete linear group over an associative ring
cites work: Isomorphisms of symplectic groups over skew fields of characteristic different from 2
cites work: Unitary geometry over local rings
full work available at URL: https://doi.org/10.1007/bf02105101
OpenAlex ID: W2326108913
description: scientific article; zbMATH DE number 3902909