Products of reflections in

DOI10.1080/03081088708817763zbMath0623.15005OpenAlexW2015614289MaRDI QIDQ3760668

Erich W. Ellers, Jerry Malzan

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/03081088708817763

zbMATH Keywords

special linear groupreal quaternionsproduct of reflectionsnormal form decomposition

Mathematics Subject Classification ID

Factorization of matrices (15A23) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Other geometric groups, including crystallographic groups (20H15) Other matrix groups over fields (20H20)

Related Items (1)

Transvections as generators of the special linear group over the quaternions

Cites Work

• Bireflectionality of the weak orthogonal and the weak symplectic groups
• Products of reflections in the general linear group over a division ring
• Products of two involutions in classical groups of characteristic 2
• Bireflectionality of orthogonal and symplectic groups
• Products of involutions
• Products of reflections
• Products of central collineations
• Decomposition of equiaffinities into reflections
• Products of two involutory matrices over skewfields
• Characterization of Dilatations Which are Expressible as a Product of Three Transvections or Three Reflections

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