The elements of the orthogonal group \(\Omega_ n(V)\) as products of commutators of symmetries

DOI10.1006/jabr.1996.0292zbMath0859.20038OpenAlexW1986094523MaRDI QIDQ1815010

Alexander J. Hahn

Publication date: 10 April 1997

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.0292

zbMATH Keywords

local fieldsorthogonal groupscommutator subgroupsproducts of commutators of symmetries

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Generators, relations, and presentations of groups (20F05) Linear algebraic groups over local fields and their integers (20G25) Commutator calculus (20F12) Orthogonal and unitary groups in metric geometry (51F25)

Related Items (6)

Commutators of symmetries in characteristic 2 ⋮ Applications of the wall form to unipotent isometries of index two ⋮ Each \(2n\)-by-\(2n\) complex symplectic matrix is a product of \(n+1\) commutators of \(J\)-symmetries ⋮ Unnamed Item ⋮ Products of commutators of dilatations ⋮ Decomposition of matrices into commutators of involutions

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