Some projective modules determined by sporadic geometries

DOI10.1016/0021-8693(90)90222-AzbMath0693.20015MaRDI QIDQ584389

Stephen D. Smith, Yoshiara, Satoshi, Alexander J. E. Ryba

Publication date: 1990

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

zbMATH Keywords

finite groups of Lie typebuildingreduced Lefschetz modulesporadic geometries in characteristic ptesting projectivity

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Geometric group theory (20F65) Combinatorial aspects of finite geometries (05B25) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Simple groups: alternating groups and groups of Lie type (20D06) Other finite nonlinear geometries (51E25) Other finite incidence structures (geometric aspects) (51E30)

Related Items (13)

Minimal supports of geometric cycle codes ⋮ Local control of group cohomology ⋮ Some homotopy equivalences for sporadic geometries ⋮ Weights and covers of chamber systems ⋮ On decomposition of modular representations from Cohen-Macaulay geometries ⋮ Computer condensation of modular representations ⋮ On a homotopy relation between the 2-local geometry and the Bouc complex for the sporadic group \(Co_3\). ⋮ A locally polar geometry associated with the group HS ⋮ A locally polar geometry associated with the group HS ⋮ On fixed point sets and Lefschetz modules for sporadic simple groups. ⋮ Some geometries for \(J_ 3\) and \(O'N\) ⋮ The cohomology of the sporadic groups \(J_2\) and \(J_3\) ⋮ On Nonprojective Block Components of Lefschetz Characters for Sporadic Geometries

Cites Work

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• Some sporadic geometries related to PG(3,2)
• Tits geometries over gf(2) Defined by groups over gf(3)
• Overgroups of Sylow subgroups in sporadic groups
• Computation of 2-modular sheaves and representations forL₄(2)A₇, 3S₆, andM₂₄

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