Chamber systems, geometries and parabolic systems whose diagram contains only bonds of strength 1 and 2

DOI10.1007/BF01233427zbMath0709.51015MaRDI QIDQ921585

Gernot Stroth

Publication date: 1990

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143834

zbMATH Keywords

classificationchamber systemsBuekenhout-Tits geometriesbuilding-like geometries

Mathematics Subject Classification ID

Buildings and the geometry of diagrams (51E24) Groups with a (BN)-pair; buildings (20E42) Lie geometries in nonlinear incidence geometry (51B25)

Related Items (3)

An \(F_1\)-module for the \(3U_4(3)\)-amalgam ⋮ Extensions of the chamber system of type \(A_ 3\) for \(A_ 7\) ⋮ Some semiclassical parabolic systems of rank \(4\)

Cites Work

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• Some geometries that are almost buildings
• Tits geometries and parabolic systems in finitely generated groups. I
• Some exceptional 2-adic buildings
• Minimal parabolic geometries for the sporadic groups
• Geometries of type M related to \(A_ 7\)
• Sheaves on buildings and modular representations of Chevalley groups
• Locally finite classical Tits chamber systems of large order
• Some sporadic geometries having \(C_ 3\)-residues of type \(A_ 7\)
• One node extensions of buildings
• The nonexistence of certain Tits geometries with affine diagram
• Extensions of the chamber system of type \(A_ 3\) for \(A_ 7\)
• Classical locally finite Tits chamber systems of rank 3
• On quadratic GF(2)-modules for Chevalley groups over fields of odd order
• Tits geometries over gf(2) Defined by groups over gf(3)
• Minimal parabolic systems and small representations
• An enemies list for factorization theorems

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