The last flag-transitive \(P\)-geometry

DOI10.1007/BF02808117zbMath0789.51014OpenAlexW2010588132MaRDI QIDQ689859

Sergey V. Shpectorov, Alexander A. Ivanov

Publication date: 6 June 1994

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02808117

zbMATH Keywords

sporadic simple groupsdiagram geometriesBaby Monster group

Mathematics Subject Classification ID

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

Related Items

The action of a maximal parabolic subgroup on the transpositions of the Baby Monster ⋮ Distance-transitive representations of the sporadic groups ⋮ The flag-transitive tilde and Petersen-type geometries are all known

Cites Work

• The maximal subgroups of Conway's group. 2
• A geometric characterization of Fischer's Baby Monster
• Geometries for sporadic groups related to the Petersen graph. II
• Flag structures on Tits geometries
• Universal presheaves on group geometries, and modular representations
• On 2-transitive graphs of girth 5
• Diagrams for geometries and groups
• The universal 2-cover of the \(P\)-geometry \({\mathcal G}(Co_ 2)\)
• An infinite family of simply connected flag-transitive tilde geometries
• Natural representations of the \(P\)-geometries of \(Co_ 2\)-type
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