Relations in Hyperreflection Groups

DOI10.2307/2044185zbMath0423.20032OpenAlexW4238951678MaRDI QIDQ3856935

Erich W. Ellers

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2044185

zbMATH Keywords

transformation groupsrelation problemrelations in hyperreflection groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Other geometric groups, including crystallographic groups (20H15) Reflection groups, reflection geometries (51F15)

Cites Work

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• Projective collineations as products of homologies, elations, and projective reflections
• Decomposition of orthogonal, symplectic, and unitary isometries into simple isometries
• Relations in classical groups
• Decomposition of equiaffinities into reflections
• Definierende Relationen zwischen Erzeugenden der klassischen Gruppen
• Unverkürzbare Produkte und Relationen in unitären Gruppen
• Group-theoretic characterization of transvections using CDC
• Spiegelungsrelationen in orthogonalen Gruppen.
• Spiegelungsrelationen in den engeren orthogonalen Gruppen.
• Relationen zwischen symplektischen Transvektionen.
• Das Relationenproblem für eine Klasse von Untergruppen orthogonaler Gruppen.
• Generators and Relations for the Special Linear Group Over a Division Ring
• Radical relations in unitary, symplectic, and orthogonal groups.
• Factorization of Affinities
• Transvektionsrelationen in metrischen Vektorräumen der Charakteristik zwei.

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