Maximal subgroups of the classical groups associated with non-isotropic subspaces of a vector space

DOI10.1016/0021-8693(81)90327-6zbMath0467.20037OpenAlexW2091684397MaRDI QIDQ1155723

Oliver H. King

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0021-8693(81)90327-6

zbMATH Keywords

maximal subgrouptransvectionnon-isotropic subspacesemitransvectiontotally singular subspace

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Maximal subgroups (20E28) Classical groups (algebro-geometric aspects) (14L35)

Related Items (17)

Maximal subgroups of symplectic groups stabilizing spreads ⋮ Imprimitive maximal subgroups of finite orthogonal groups ⋮ A class of maximal subgroups in finite classical groups ⋮ Subgroups of split orthogonal groups ⋮ The integral monodromy of hyperelliptic and trielliptic curves ⋮ Subgroups of classical groups that are transitive on subspaces ⋮ On the lattice of subgroups of chevalley groups containing a split maximal torus ⋮ Subgroups of split orthogonal groups over a ring ⋮ Unnamed Item ⋮ Imprimitive maximal subgroups of the orthogonal, special orthogonal, unitary and special unitary groups ⋮ Linear groups ⋮ Finite groups ⋮ On finite edge-primitive and edge-quasiprimitive graphs ⋮ Maximal Subgroups of Finite Orthogonal Groups Stabilizing Spreads of Lines ⋮ Maximal subgroups of the finite orthogonal and unitary groups stabilizing anisotropic subspaces ⋮ On subgroups of the special linear group containing the special orthogonal group ⋮ Maximal subgroups of finite symplectic groups stabilizing spreads of lines.

Cites Work

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• On some maximal subgroups of the classical groups
• On the Structure of Orthogonal Groups
• Geometry in three dimensions over GF (3)

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