Gauss decomposition with prescribed semisimple part: short proof
type: Item
instance of: scholarly article
title: Gauss decomposition with prescribed semisimple part: short proof
zbMATH Open document ID: 0964.20024
author: N. L. Gordeev
author: V. Chernousov
author: Erich W. Ellers
published in: Journal of Algebra
publication date: 2001-04-04T00:00:00Z
review text: A short proof of the following fact is given: the intersection of every non-central conjugacy class in a Chevalley group over a field and a big Gauss cell contains an element with any prescribed semisimple part.
reviewed by: L. N. Vaserstein
Mathematics Subject Classification ID: 20G15
Mathematics Subject Classification ID: 20E45
Mathematics Subject Classification ID: 20G40
Mathematics Subject Classification ID: 15A23
zbMATH DE Number: 1496014
zbMATH Keywords: Gauss decompositions
zbMATH Keywords: Chevalley groups
zbMATH Keywords: conjugacy classes
zbMATH Keywords: Gauss cells
MaRDI profile type: Publication
OpenAlex ID: W2088126547
cites work: Products of conjugacy classes in groups
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cites work: Q3996420
cites work: Q3907722
cites work: Gauss decomposition with prescribed semisimple part in classical chevalley groups
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cites work: Q5531021
cites work: Gauss decompositions of kac-moody groups
cites work: Some Remarks on Commutators
DOI: 10.1006/JABR.2000.8310
description: scientific article; zbMATH DE number 1496014