Products of reflections in the general linear group over a division ring

DOI10.1016/0024-3795(79)90118-6zbMath0419.20037OpenAlexW2031923905MaRDI QIDQ1132182

Jerry Malzan, Dragomir Ž. Djoković

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0024-3795(79)90118-6

zbMATH Keywords

products of reflectionsgeneral linear group over a division ringlength of a matrix

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Generators, relations, and presentations of groups (20F05) Canonical forms, reductions, classification (15A21)

Related Items (10)

Factorization of transformations over a local ring ⋮ Transvections as generators of the special linear group over the quaternions ⋮ The operator factorization problems ⋮ Products of reflections in ⋮ Width of groups of type \(\mathrm E_6\) with respect to root elements. II. ⋮ The width of the group \(\mathrm{GL}(6,K)\) with respect to a set of quasiroot elements. ⋮ Decomposition of matrices into 2-involutions ⋮ Commutators and companion matrices over rings of stable rank 1 ⋮ Width of groups of type $\mathrm E_{6}$ with respect to root elements. I ⋮ On simple factorization of invertible matrices

Cites Work

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• Products of reflections in the quaternionic unitary group
• Decomposition of matrices into simple involutions
• Products of reflections
• Products of central collineations
• Products of Reflections in the Unitary Group
• On the Decomposition of Orthogonalities into Symmetries

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