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On subgroups of the special linear group containing the special orthogonal group

โœ Scribed by Oliver King

Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
939 KB
Volume
96
Category
Article
ISSN
0021-8693

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๐Ÿ“œ SIMILAR VOLUMES

Presentations of the Special and General
Presentations of the Special and General Linear Groups
โœ T.A. Francis ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 691 KB

If \(R\) is a division ring and \(n \geq 2\), then we give an elegant, basis free, presentation for the general linear group \(G L_{n}(R)\) in terms of transvections and dilations. In case \(R\) is a field, we give a similar presentation for \(S L_{n}(R)\), but now purely in terms of transvections.