On finite nilpotent matrix groups over integral domains.
type: Item
instance of: scholarly article
title: On finite nilpotent matrix groups over integral domains.
zbMATH Open document ID: 1294.20063
DOI: 10.1155/2013/638623
published in: ISRN Algebra
publication date: 2014-06-16T00:00:00Z
review text: Summary: We consider finite nilpotent groups of matrices over commutative rings. A general result concerning the diagonalization of matrix groups in the terms of simple conditions for matrix entries is proven. We also give some arithmetic applications for representations over Dedekind rings.
Mathematics Subject Classification ID: 20H25
Mathematics Subject Classification ID: 15A30
Mathematics Subject Classification ID: 15A21
Mathematics Subject Classification ID: 20C10
Mathematics Subject Classification ID: 13G05
Mathematics Subject Classification ID: 13F05
zbMATH DE Number: 6304835
zbMATH Keywords: finite nilpotent groups
zbMATH Keywords: matrix groups over commutative rings
zbMATH Keywords: diagonalization of matrices
zbMATH Keywords: representations over Dedekind rings
Wikidata QID: Q58997925
author: Dmitry Malinin
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/638623
OpenAlex ID: W1988478536
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description: scientific article; zbMATH DE number 6304835