Maximal subgroups of \(PSp_{6n}(q)\) stabilizing spreads of totally isotropic planes

DOI10.1016/0021-8693(86)90063-3zbMath0591.20050OpenAlexW2004052377MaRDI QIDQ1074723

Roger H. Dye

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90063-3

zbMATH Keywords

orbitsspreadstabilizersymplectic polaritytotally isotropic planes

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Linear algebraic groups over finite fields (20G40) Maximal subgroups (20E28) Classical groups (algebro-geometric aspects) (14L35) Simple groups: alternating groups and groups of Lie type (20D06) Translation planes and spreads in linear incidence geometry (51A40)

Related Items (8)

Transvections in subgroups of the general linear group containing a nonsplit maximal torus ⋮ On twisted tensor product group embeddings and the spin representation of symplectic groups ⋮ Overgroups in GL(nr,F) of certain subgroups of SL(n,K). I ⋮ Spreads and classes of maximal subgroups of \(GL_ n(q), SL_ n(q),PGL_ n(q)\) and \(PSL_ n(q)\) ⋮ On subgroups of the general linear group that contain a nonsplit maximal torus. ⋮ On regular systems of finite classical polar spaces ⋮ Maximal Subgroups of Finite Orthogonal Groups Stabilizing Spreads of Lines ⋮ Maximal subgroups of finite symplectic groups stabilizing spreads of lines.

Cites Work

• Some applications of the first cohomology group
• A maximal subgroup of \(PSp_ 6(2^ m)\) related to a spread
• Maximal subgroups of symplectic groups stabilizing spreads
• Nearly maximal representations for the special linear group
• Partitions and their stabilizers for line complexes and quadrics
• Orthogonal Matrices Over Finite Fields
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