ON HOMOLOGICAL PROPERTIES OF THE RANK 4 GEOMETRY RELATED TO THE HIGMAN-SIMS GROUP

DOI10.1081/AGB-100105986zbMath0992.20038OpenAlexW2074402521MaRDI QIDQ2769803

Vladimir P. Burichenko

Publication date: 23 May 2002

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

Full work available at URL: https://doi.org/10.1081/agb-100105986

zbMATH Keywords

sporadic groupsHigman-Sims groupreduced homology groupsflag-transitive actionshomology of geometries

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Combinatorial aspects of finite geometries (05B25) Homological methods in group theory (20J05) Buildings and the geometry of diagrams (51E24)

Cites Work

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• Universal presheaves on group geometries, and modular representations
• Diagrams for geometries and groups
• Extensions of cocycles in \(BN\)-pairs
• A homological property of groups acting on linear spaces.

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