Products of transvections in one conjugacy class in the symplectic group over \(\text{GF}(3)\)

DOI10.1016/0024-3795(94)90181-3zbMath0809.20035OpenAlexW2010259304MaRDI QIDQ1329921

Erich W. Ellers

Publication date: 15 August 1994

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)90181-3

zbMATH Keywords

symplectic groupsymplectic transformationgenerated by transvectionsproduct of transvectionsconjugacy class of transvectionslength problem

Mathematics Subject Classification ID

Factorization of matrices (15A23) Linear algebraic groups over finite fields (20G40) Generators, relations, and presentations of groups (20F05)

Related Items (4)

Products of reflections in one conjugacy class in the orthogonal group overGF(3) ⋮ A problem of expressibility in some amalgamated products of groups ⋮ 2n-by-2n symplectic completions of matrices of order 2n − 1 ⋮ Pseudocharacters and the problem of expressibility for some groups

Cites Work

• Isometrien von Vektorräumen. I
• Decomposition of orthogonal, symplectic, and unitary isometries into simple isometries
• Products of \(\lambda\)-transvections in Sp(2n,q)
• Products of positive transvections in the real symplectic group

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