A presentation of the symplectic and orthogonal groups

DOI10.1016/0021-8693(79)90091-7zbMath0426.20035OpenAlexW2012497527MaRDI QIDQ1135934

Larry Finkelstein, Ronald M. Solomon

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0021-8693(79)90091-7

zbMATH Keywords

orthogonal groupChevalley groupcentralizer of a semisimple elementclassical linear group over the finite fieldsymplectic group presentation

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) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (5)

Finite simple groups with a standard 3-component of type \(Sp(2n,2),\;n\geq 4\) ⋮ A generalization of the alternating groups - A question on finiteness and representation ⋮ Finite groups with a standard 3-component isomorphic to \(\Omega^\pm(2m,2)\), \(m\geq 5\), \(F_ 4(2)\) or \(E_ n(2)\), \(n=6,7,8\) ⋮ Linear groups ⋮ Finite groups

Cites Work

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• Finite simple groups with a standard 3-component of type \(Sp(2n,2),\;n\geq 4\)
• Generators and relations for classical groups
• Characterization of the finite simple groups \(PSp_{2n}(q)\)
• A theorem on special linear groups
• On Some Simple Groups Defined by C. Chevalley
• Central extensions of groups of Lie type.

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