The P-geometry for \(M_{23}\) has no non-trivial 2-coverings

DOI10.1016/S0195-6698(13)80139-4zbMath0712.51009OpenAlexW2019112159MaRDI QIDQ748873

Alexander A. Ivanov, Sergey V. Shpectorov

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/s0195-6698(13)80139-4

zbMATH Keywords

sporadic simple groupsBuekenhout geometrygroup amalgamsrank 4 P- geometries

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Buildings and the geometry of diagrams (51E24)

Related Items

On 3-chromatic distance-regular graphs ⋮ On locally projective graphs of girth 5 ⋮ The flag-transitive tilde and Petersen-type geometries are all known ⋮ A quarry of geometries ⋮ An algorithmic approach to fundamental groups and covers of combinatorial cell complexes ⋮ The universal 2-cover of the \(P\)-geometry \({\mathcal G}(Co_ 2)\) ⋮ An infinite family of simply connected flag-transitive tilde geometries ⋮ Imprimitive distance-transitive graphs with primitive core of diameter at least 3

Cites Work

• Coverings and automorphisms of chamber systems
• Geometries for sporadic groups related to the Petersen graph. II
• Minimal parabolic geometries for the sporadic groups
• On 2-transitive graphs of girth 5
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