Computation of 2-modular sheaves and representations forL4(2)A7, 3S6, andM24

DOI10.1080/00927878908823784zbMath0676.20007OpenAlexW34004486MaRDI QIDQ3831186

Stephen D. Smith, Mark A. Ronan

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1080/00927878908823784

zbMATH Keywords

projective spacegeneralized quadrangletriple cover2-local geometryirreducible \(F_ 2\)-modulespanel irreducible presheavessimple-group geometrieszero-homology

Mathematics Subject Classification ID

Modular representations and characters (20C20) Homological methods in group theory (20J05) Finite simple groups and their classification (20D05) Combinatorial geometries and geometric closure systems (51D20) Cohomology theory for linear algebraic groups (20G10) Other finite nonlinear geometries (51E25)

Related Items (8)

Weights and covers of chamber systems ⋮ Universality of the 24-dimensional embedding of the -1 2-local geometry ⋮ On decomposition of modular representations from Cohen-Macaulay geometries ⋮ \(c\)-extensions of \(P\)- and \(T\)-geometries ⋮ Some projective modules determined by sporadic geometries ⋮ Conjugate $p$-elements of full support that generate the wreath product $C_{p}wr C_{p}$ ⋮ A geometric presentation for the adjoint module of \(SL_ 3(k)\) ⋮ 2-minimal subgroups of monomial, linear and unitary groups

Cites Work

• Unnamed Item
• The modular characters of the Mathieu groups
• Sheaf homology for truncated buildings of type \(M_{24}/Sp_ 8(2)\)
• Universal presheaves on group geometries, and modular representations
• Sheaves on buildings and modular representations of Chevalley groups
• Locally truncated buildings and M//(24)
• A local method in group cohomology
• Some sporadic geometries related to PG(3,2)
• Computation of characters of the Higman-Sims group and its automorphism group
• The loewy structure of the projective indecomposable modules for a₈in characteristic 2
• Principal blocks of groups with dihedral sylow 2-subgroups

This page was built for publication: Computation of 2-modular sheaves and representations forL₄(2)A₇, 3S₆, andM₂₄