Commutators of symmetries in characteristic 2

DOI10.1016/J.LAA.2010.11.031zbMath1210.15012OpenAlexW1995576774MaRDI QIDQ627961

Erich W. Ellers, Oliver Villa

Publication date: 4 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.11.031

zbMATH Keywords

quadratic formfactorizationvector spacecommutatorsingular vector

Mathematics Subject Classification ID

Factorization of matrices (15A23) Quadratic and bilinear forms, inner products (15A63) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (1)

Each \(2n\)-by-\(2n\) complex symplectic matrix is a product of \(n+1\) commutators of \(J\)-symmetries

Cites Work

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• Two-graphs and doubly transitive groups
• Decomposition of orthogonal, symplectic, and unitary isometries into simple isometries
• The elements of the orthogonal group \(\Omega_ n(V)\) as products of commutators of symmetries
• On the Decomposition of Orthogonalities into Symmetries
• The Zassenhaus decomposition for the orthogonal group: properties and applications

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