Overgroups of Cyclic Sylow Subgroups of Linear Groups

DOI10.1080/00927870802070108zbMath1162.20033OpenAlexW1966442546MaRDI QIDQ3514779

Tim Penttila, John Bamberg

Publication date: 23 July 2008

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

Full work available at URL: https://doi.org/10.1080/00927870802070108

zbMATH Keywords

ovoidsspreadsmatrix groups\(m\)-systemsprimitive prime divisorsCameron-Liebler conjecture

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Maximal subgroups (20E28) Representation theory for linear algebraic groups (20G05) Combinatorial structures in finite projective spaces (51E20) Representations of sporadic groups (20C34) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33)

Related Items (13)

The non-existence of block-transitive subspace designs ⋮ Upper bounds for eigenvalue multiplicities of almost cyclic elements in irreducible representations of simple algebraic groups ⋮ Affine transformations of finite vector spaces with large orders or few cycles. ⋮ Cameron-Liebler line classes in \(PG(n,4)\) ⋮ Classification of the non-trivial \(2\)-\((k^2,k, \lambda )\) designs, with \(\lambda |k\), admitting a flag-transitive almost simple automorphism group ⋮ Degree 2 Boolean functions on Grassmann graphs ⋮ A classification of flag-transitive \(2\)-\((k^2, k, \lambda)\) designs with \(\lambda\mid k\) ⋮ PRIMITIVE PRIME DIVISORS AND THE TH CYCLOTOMIC POLYNOMIAL ⋮ A new infinite family of hemisystems of the Hermitian surface ⋮ Generalized Quadrangles and Transitive Pseudo-Hyperovals ⋮ On transitive ovoids of finite Hermitian polar spaces ⋮ Products of conjugacy classes and fixed point spaces ⋮ A new family of tight sets in \(\mathcal Q^+(5,q)\)

Uses Software

• GAP

Cites Work

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• Again nice equations for nice groups
• On a class of doubly transitive groups

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