On bireflectionality and trireflectionality of orthogonal groups

DOI10.1016/0024-3795(87)90090-5zbMath0623.20034OpenAlexW2049968546MaRDI QIDQ1091472

Klaus Nielsen

Publication date: 1987

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90090-5

zbMATH Keywords

quadratic formbilinear formradicalweak orthogonal groupproduct of two involutions

Mathematics Subject Classification ID

Factorization of matrices (15A23) Generators, relations, and presentations of groups (20F05) Quadratic and bilinear forms, inner products (15A63) Other matrix groups over fields (20H20) Orthogonal and unitary groups in metric geometry (51F25)

Related Items (8)

Decomposition of complex hyperbolic isometries by involutions ⋮ On products of two involutions in the orthogonal group of a vector space ⋮ Products of involutions in \(O^ +(V)\) ⋮ Factoring formal maps into reversible or involutive factors. ⋮ Reversible complex hyperbolic isometries ⋮ Siegel transformations for even characteristic. ⋮ Reality properties of conjugacy classes in \(G_2\). ⋮ Reversible maps in the group of quaternionic Möbius transformations

Cites Work

• Bireflectionality of the weak orthogonal and the weak symplectic groups
• Isometrien von Vektorräumen. I
• Products of two involutions in classical groups of characteristic 2
• Bireflectionality of orthogonal and symplectic groups
• Product of two involutions
• Group-theoretic characterization of transvections using CDC
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On bireflectionality and trireflectionality of orthogonal groups