Products of half-turns

DOI10.1016/0021-8693(86)90026-8zbMath0587.20025OpenAlexW2081555464MaRDI QIDQ1072648

Erich W. Ellers

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90026-8

zbMATH Keywords

orthogonal groupsinvolutionsreflectionssymmetric bilinear formshalf-turns

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Generators, relations, and presentations of groups (20F05) Reflection groups, reflection geometries (51F15)

Related Items

PRODUCTS OF ROTATIONS BY A GIVEN ANGLE IN THE ORTHOGONAL GROUP ⋮ Half turns in characteristic 2. ⋮ Bireflectionality of the orthogonal group over a valuation domain

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Products of positive reflections in real orthogonal groups
• Decomposition of orthogonal, symplectic, and unitary isometries into simple isometries
• Decomposition of equiaffinities into reflections
• Über die Erzeugenden der engeren unitären Gruppen
• Products of reflections in 𝑈(𝑝,𝑞)
• On the Decomposition of Orthogonalities into Symmetries