In this paper we prove that the only locally finite, thick flag-transitive C.. L geometries with n/> 3 are truncations of polar spaces. We recall that for n = 2 an example of thick flag-transitive geometry which is not a truncated polar space has been given by Ronan (1980Ronan ( , 1986)). Moreover,
Flag-transitive C3-geometries
β Scribed by Antonio Pasini
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 902 KB
- Volume
- 117
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
Pasini, A., Flag-transitive C,-geometries, Discrete Mathematics 117 (1993) 169-182.
We obtain conditions on the structure and the parameters of an anomalous finite thick flagtransitive C,-geometry.
π SIMILAR VOLUMES
Construction and characterization is given for three new flag-transitive non-classical extended generalized quadrangles. They are simply connected with point-residues the non-classical generalized quadrangle \(T_{2}^{*}\left(O_{4}\right)\) and its dual \(T_{2}^{* *}\left(O_{4}\right)\).
Recently there has been renewed interest in a class of geometries introduced by Tits many years ago. Part of this interest stems from Tits' paper [-6] which characterizes buildings as the simply connected geometries with Coxeter diagram in which all residues of type C 3 and H 3 are buildings. Defin
## ABSTRACTΒ° Let F be a finite thick geometry of type C n (n ~ 4) or F4. We prove that F is a building iff Aut(F) is flag-transitive.