Universality of the 24-dimensional embedding of the -1 2-local geometry

DOI10.1080/00927879408825125zbMath0817.20015OpenAlexW2115272731MaRDI QIDQ4310005

Stephen D. Smith

Publication date: 31 July 1995

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

Full work available at URL: https://doi.org/10.1080/00927879408825125

zbMATH Keywords

Leech latticeConway groupsgeometric embeddingmaximal 2-local geometry\(Co_ 1\)-geometry24-dimensional moduleirreducible module over \(GF(2)\)

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Geometric group theory (20F65) Buildings and the geometry of diagrams (51E24) Representations of sporadic groups (20C34)

Related Items (2)

The flag-transitive tilde and Petersen-type geometries are all known ⋮ The universal embedding for the involution geometry of \(Co_1\)

Cites Work

• Universal presheaves on group geometries, and modular representations
• Sheaves on buildings and modular representations of Chevalley groups
• On the uniqueness of the \(Co_ 1\) 2-local geometry
• Universal embeddings for the \(^ 3D_ 4(2)\) hexagon and \(J_ 2\) near- octagon
• Computation of 2-modular sheaves and representations forL₄(2)A₇, 3S₆, andM₂₄

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