Representations and maximal subgroups of finite groups of Lie type

DOI10.1007/BF00191934zbMath0716.20009OpenAlexW4233082933MaRDI QIDQ752846

Gary M. Seitz

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf00191934

zbMATH Keywords

maximal subgroupsLevi factorfinite classical groupsparabolic subgroupirreducible kG-modulequasisimplesimple, simply connected algebraic group

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Maximal subgroups (20E28) Representation theory for linear algebraic groups (20G05) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33)

Related Items (14)

Twisted tensor product subgroups of finite classical groups ⋮ On twisted tensor product group embeddings and the spin representation of symplectic groups ⋮ Centers of Centralizers in Reductive Algebraic Groups ⋮ Maximal 𝑃𝑆𝐿₂ Subgroups of Exceptional Groups of Lie Type ⋮ On conjugacy classes of maximal subgroups of finite simple groups, and a related zeta function. ⋮ On groups of hyperbolic length ⋮ Growth of cross-characteristic representations of finite quasisimple groups of Lie type. ⋮ The maximal size of a minimal generating set ⋮ Extending morphisms from finite to algebraic groups ⋮ Twisted tensor product group embeddings and complete partial ovoids on quadrics in \(\text{PG}(2^{t}-1,q)\). ⋮ On a conjecture of G. E. Wall. ⋮ On twisted tensor product group embeddings and the spin representation of symplectic groups: the case \(q\) odd. ⋮ On the subgroup structure of exceptional groups of Lie type ⋮ Imprimitive irreducible modules for finite quasisimple groups

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