Subgroups of \(\text{GL}_n(q)\) which fix sublattices of the subspace lattice

DOI10.1016/S0021-8693(02)00560-4zbMath1018.20044OpenAlexW2046537833MaRDI QIDQ1867304

John Shareshian, Robert M. Guralnick

Publication date: 2 April 2003

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

Full work available at URL: https://doi.org/10.1016/s0021-8693(02)00560-4

zbMATH Keywords

maximal subgroupsalmost simple groupsfinite linear groupssubspace latticesAschbacher classes of subgroupsstabilizers of sublattices

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Linear algebraic groups over finite fields (20G40) Maximal subgroups (20E28) Lattices of subspaces and geometric closure systems (51D25)

Related Items (1)

CONSTRUCTING AUTOMORPHISM GROUPS OF p-GROUPS

Cites Work

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• On the maximal subgroups of the finite classical groups
• On free involutions in linear groups and collineation groups of translation planes
• Varieties of lattices
• Tensor products are projective geometries
• Arguesian Lattices of Dimension $n\leqq 4$.
• Representations of Complemented Modular Lattices
• The Coordinatization of Arguesian Lattices
• Recognising Tensor Products of Matrix Groups

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