Embeddings of an \(M_{12}\) geometry: Some simple combinatorial descriptions

DOI10.1016/S0195-6698(88)80045-3zbMath0646.20017OpenAlexW2092651087MaRDI QIDQ1103721

Sarah Rees

Publication date: 1988

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0195-6698(88)80045-3

zbMATH Keywords

embeddinggraphsMathieu groups2-local geometry for \(M_{12}\)

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Simple groups: sporadic groups (20D08) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Other finite incidence structures (geometric aspects) (51E30)

Cites Work

• The modular characters of the Mathieu groups
• Minimal parabolic geometries for the sporadic groups
• Sheaves on buildings and modular representations of Chevalley groups
• On the foundations of polar geometry
• Automorphisms of trivalent graphs
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