Natural representations of some tilde and Petersen type geometries

DOI10.1007/BF01265300zbMath0836.51009MaRDI QIDQ1900004

Sergey V. Shpectorov

Publication date: 28 April 1996

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

Petersen geometrytilde geometry

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Geometric group theory (20F65) Other finite nonlinear geometries (51E25)

Related Items (3)

A certain uniqueness result for the tilde geometry for \(F_4(2)\) ⋮ The flag-transitive tilde and Petersen-type geometries are all known ⋮ Some semiclassical parabolic systems of rank \(4\)

Cites Work

• Embeddings and hyperplanes of discrete geometries
• The maximal subgroups of Conway's group. 2
• Sheaves on buildings and modular representations of Chevalley groups
• 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
• The flag-transitive tilde and Petersen-type geometries are all known

This page was built for publication: Natural representations of some tilde and Petersen type geometries