Bireflectionality of the orthogonal group over a valuation domain

DOI10.1016/0021-8693(92)90019-IzbMath0779.20028OpenAlexW2024695978MaRDI QIDQ1194039

Erich W. Ellers, Hiroyuki Ishibashi

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1016/0021-8693(92)90019-i

zbMATH Keywords

free moduleorthogonal groupquadratic formvaluation domainspecial orthogonal groupnumber of factorsorthogonal involutionsproduct of involutionsspecial orthogonal transformation

Mathematics Subject Classification ID

Factorization of matrices (15A23) Generators, relations, and presentations of groups (20F05) Other matrix groups over rings (20H25) Quadratic forms over local rings and fields (11E08)

Related Items (3)

The orthogonal group over a local ring is \(4\)-reflectional ⋮ Involutary expressions for elements in \(\text{GL}_ n(\mathbb{Z})\) and \(\text{SL}_ n(\mathbb{Z})\) ⋮ Involutions and semiinvolutions

Cites Work

• Unnamed Item
• Products of half-turns
• On products of two involutions in the orthogonal group of a vector space
• Generators of an orthogonal group over a local valuation domain
• Bireflectionality in Classical Groups

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