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On the Classification of Flag-Transitive c.c*- Geometries

✍ Scribed by Barbara Baumeister; Francis Buekenhout

Book ID: 110219874
Publisher: Springer
Year: 1999
Tongue: English
Weight: 147 KB
Volume: 75
Category: Article
ISSN: 0046-5755
DOI: 10.1023/a:1005087520210

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

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## ABSTRACT° 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.