A maximal subgroup of \(PSp_ 6(2^ m)\) related to a spread

DOI10.1016/0021-8693(83)90071-6zbMath0574.20011OpenAlexW2072958884MaRDI QIDQ1063685

Roger H. Dye

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90071-6

zbMATH Keywords

projective spacespreadmaximal subgroupsymplectic polaritytotally isotropic planesorthogonal polarity

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) 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

Maximal subgroups of symplectic groups stabilizing spreads ⋮ 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 ⋮ Arithmetic and topology of classical structures associated with plane quartics ⋮ Spreads and classes of maximal subgroups of \(GL_ n(q), SL_ n(q),PGL_ n(q)\) and \(PSL_ n(q)\) ⋮ 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. ⋮ Maximal subgroups of \(PSp_{6n}(q)\) stabilizing spreads of totally isotropic planes

Cites Work

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• On the subgroups of the group \(PSL_4(2^m)\)
• Partitions and their stabilizers for line complexes and quadrics
• On finite groups generated by odd transpositions. IV
• On the conjugacy classes of involutions of the simple orthogonal groups over perfect fields of characteristic two
• Finite Groups with Sylow 2-Subgroups of Class Two. II
• Maximal Subgroups of Index 960 of the Group of the Bitangents

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