Relations in classical groups

DOI10.1016/0021-8693(78)90132-1zbMath0373.20044OpenAlexW2009911500MaRDI QIDQ1244575

Erich W. Ellers

Publication date: 1978

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(78)90132-1

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Generators, relations, and presentations of groups (20F05) Quadratic and bilinear forms, inner products (15A63)

Related Items

Relations in Hyperreflection Groups, Radical relations in orthogonal groups, Relations in the projective general linear group and in the affine subgroup, Generators and relations for the unitary group of a skew Hermitian form over a local ring, Linear groups, Defining relations for the equiaffine group, Projective metric geometry and Clifford algebras, Defining relations for the equiaffine group

Cites Work

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• Definierende Relationen zwischen Erzeugenden der klassischen Gruppen
• Unverkürzbare Produkte und Relationen in unitären Gruppen
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• Spiegelungsrelationen in den engeren orthogonalen Gruppen.
• Generators of the unitary group of characteristic 2.
• Relationen zwischen symplektischen Transvektionen.
• The length of a unitary transformation.
• The length of a unitary transformation for characteristic 2.
• Das Relationenproblem für eine Klasse von Untergruppen orthogonaler Gruppen.
• Transvektionsrelationen in metrischen Vektorräumen der Charakteristik zwei.