The nonexistence of certain Tits geometries with affine diagram
type: Item
instance of: scholarly article
title: The nonexistence of certain Tits geometries with affine diagram
zbMATH Open document ID: 0668.51009
DOI: 10.1007/BF00182399
published in: Geometriae Dedicata
publication date: 1988-01-01T00:00:00Z
review text: This paper supplies part of the proof of the main theorem in the author's paper in Geom. Dedicata 25, 71-120 (1988; Zbl 0639.51009). In particular, it deals with geometries that are one node extensions of spherical buildings leading to an affine diagram of rank at least four, and so it encompasses the interesting examples arising in the conclusion of the theorem (characteristic 2 and type \(\tilde D_ 4\), \(\tilde A_ 3\), \(\tilde B_ 3).\) The proofs depend on the classification of failure of factorization modules for residue stabilizers which are obtained from the action on the geometry related to the chamber system.
Mathematics Subject Classification ID: 51E30
Mathematics Subject Classification ID: 20B25
Mathematics Subject Classification ID: 20F65
zbMATH DE Number: 4094267
zbMATH Keywords: chamber systems
zbMATH Keywords: Lie incidence systems
author: Gernot Stroth
reviewed by: Arjeh M. Cohen
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf00182399
OpenAlex ID: W2063084909
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description: scientific article; zbMATH DE number 4094267