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Flag-transitive C2.Ln geometries

✍ Scribed by A. Del Fra; G. Pica

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 325 KB
Volume: 174
Category: Article
ISSN: 0012-365X
DOI: 10.1016/s0012-365x(96)00322-6

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✦ Synopsis

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, we prove that no flag-transitive thick C2. Af. A,-2. L geometry exists with classical generalized quadrangles as lower residues of elements of type 2, except possibly when q = 3 or 4. However there are examples of flag-transitive thick C2. Af. An-2. L geometries where the lower residue of a plane is isomorphic to the generalized quadrangle dual of T*(O).

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