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Generalized quadrangles as amalgamations of projective planes

✍ Scribed by Stanley E Payne


Book ID
107774111
Publisher
Elsevier Science
Year
1972
Tongue
English
Weight
782 KB
Volume
22
Category
Article
ISSN
0021-8693

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Generalized Hexagons as Amalgamations of
✍ H. Van Maldeghem; I. Bloemen πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 478 KB

We define the notion of regular point \(p\) in a generalized hexagon and show how a derived geometry at such a point can be defined. We motivate this by proving that, for finite generalized hexagons of order \((s, t)\), this derivation is a generalized quadrangle iff \(s=t\). Moreover, if the genera