Imprimitive maximal subgroups of finite orthogonal groups

DOI10.1007/BF00181536zbMath0605.20051MaRDI QIDQ1084185

Oliver H. King

Publication date: 1986

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

orthogonal groupquadratic formspecial orthogonal grouporthogonal direct summaximal subgroupcommutator subgroupWitt index

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Maximal subgroups (20E28) Other geometric groups, including crystallographic groups (20H15) Reflection groups, reflection geometries (51F15) Orthogonal and unitary groups in metric geometry (51F25) Other matrix groups over finite fields (20H30)

Related Items (1)

Maximal Subgroups of Finite Orthogonal Groups Stabilizing Spreads of Lines

Cites Work

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• Maximal subgroups of the finite orthogonal and unitary groups stabilizing anisotropic subspaces
• On the maximal subgroups of the finite classical groups
• Imprimitive maximal subgroups of the symplectic, orthogonal and unitary groups
• Maximal subgroups of the classical groups associated with non-isotropic subspaces of a vector space
• Imprimitive maximal subgroups of the orthogonal, special orthogonal, unitary and special unitary groups
• Imprimitive Maximal Subgroups of the General Linear, Special Linear, Symplectic and General Symplectic Groups
• A Geometric Characterization of the Special Orthogonal Groups and the Dickson Invariant

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