Primitive parabolic permutation representations for finite simple orthogonal groups in odd dimensions.

DOI10.1007/s10469-010-9106-5zbMath1255.20007OpenAlexW2049822603MaRDI QIDQ694209

V. V. Korableva

Publication date: 11 December 2012

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-010-9106-5

zbMATH Keywords

parabolic subgroupsorthogonal groupsfinite simple groupsfinite groups of Lie typepermutation representationsisotropic subspaces

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33)

Cites Work

• Primitive parabolic permutation representations for finite symplectic groups.
• Primitive parabolic permutation representations of finite special linear and unitary groups.
• Minimal permutation representations of finite simple classical groups. Special linear, symplectic, and unitary groups
• Parabolic permutation representations of the groups \(^2F_4(q)\) and \(^3D_4(q^3)\)
• Minimal permutation representations of finite simple orthogonal groups
• Parabolic permutation representations of the group \(^2E_6(q^2)\)
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