Generation of classical groups over finite fields

DOI10.1016/0024-3795(83)90146-5zbMath0507.20018OpenAlexW1995090920MaRDI QIDQ1837282

Hiroyuki Ishibashi

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0024-3795(83)90146-5

zbMATH Keywords

symplectic grouporthogonal groupunitary groupshyperbolic planesesquilinear formunitary transvectionsnonsingular hermitian formquasitransvections

Mathematics Subject Classification ID

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

Related Items

Small systems of generators of isotropic unitary groups over finite fields of characteristic not two, Generation of classical groups over finite fields

Cites Work

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• Decomposition of orthogonal, symplectic, and unitary isometries into simple isometries
• Unitary groups over local rings
• Generation of classical groups over finite fields
• Generators of an orthogonal group over a finite field
• On the Structure of Unitary Groups
• On the Structure of Unitary Groups (II)