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Flag-transitivity in Shadow Geometries

โœ Scribed by Giustina Pica; Antonio Pasini


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
299 KB
Volume
15
Category
Article
ISSN
0195-6698

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๐Ÿ“œ SIMILAR VOLUMES


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โœ Antonio Pasini ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 902 KB

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.

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We show that for fixed )., there exist only finitely many 2-(v, k, 2) designs admitting a flag-transitive automorphism group which is not primitive on points, and exhibit some examples of such designs.

Flag-transitive C2.Ln geometries
โœ A. Del Fra; G. Pica ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 325 KB

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,

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Finite geometries of typeC3with flag-tra
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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

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โœ Satoshi Yoshiara ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 669 KB

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 \(T_{2}^{* *}\left(O_{4}\right)\).