The generation of \(\text{Sp}(\mathbb F_2)\) by transvections

DOI10.1016/0021-8693(76)90105-8zbMath0345.20043OpenAlexW2103905556MaRDI QIDQ1233082

David Callan

Publication date: 1976

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

Full work available at URL: http://www.stat.wisc.edu/~callan/papers/transvections/transvections.pdf

zbMATH Keywords

symplectic groupstransvectionsminimal number of factors of elements expressible as product of symplectic transvections

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Linear algebraic groups over finite fields (20G40) Generators, relations, and presentations of groups (20F05)

Related Items (5)

Factoring isometries of quadratic spaces into reflections ⋮ Reflection length in the general linear and affine groups ⋮ Products of reflections in one conjugacy class in the orthogonal group overGF(3) ⋮ Yet more elementary proofs that the determinant of a symplectic matrix is 1 ⋮ Linear groups

Cites Work

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• Products of Transvections

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