Universal presheaves on group geometries, and modular representations

DOI10.1016/0021-8693(86)90132-8zbMath0602.20014OpenAlexW2012707699MaRDI QIDQ1081689

Stephen D. Smith, Mark A. Ronan

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90132-8

zbMATH Keywords

sporadic simple groupsuniversal extensiongeometries with transitive automorphism groupsmodular irreduciblessheaf homology on buildings

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Simple groups: sporadic groups (20D08) Modular representations and characters (20C20) Homological methods in group theory (20J05) Other finite incidence structures (geometric aspects) (51E30) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

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Cites Work

• Embeddings and hyperplanes of discrete geometries
• The modular characters of the Mathieu groups
• Finite geometries of type \(C_ 3\) with flag-transitive groups
• Coverings and automorphisms of chamber systems
• Some geometries that are almost buildings
• Tits geometries and parabolic systems in finitely generated groups. II
• Minimal parabolic geometries for the sporadic groups
• Sheaves on buildings and modular representations of Chevalley groups
• Complexes, group cohomology, and an induction theorem for the Green ring
• Permutation representations arising from simplicial complexes
• Diagrams for geometries and groups
• Irreducible modules and parabolic subgroups
• Some sporadic geometries related to PG(3,2)
• Tits geometries over gf(2) Defined by groups over gf(3)
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