Transvections as generators of the special linear group over the quaternions

DOI10.1016/0022-4049(89)90024-8zbMath0665.20024OpenAlexW2084923201MaRDI QIDQ1115976

Jerry Malzan, Erich W. Ellers

Publication date: 1989

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(89)90024-8

zbMATH Keywords

generatorsquaternionsspecial linear grouptransvections

Mathematics Subject Classification ID

Factorization of matrices (15A23) Generators, relations, and presentations of groups (20F05) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Cites Work

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• Products of reflections in the general linear group over a division ring
• Decomposition of equiaffinities into reflections
• Products of reflections in
• Products of Transvections

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