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The equivalence of certain generalized quadrangles

โœ Scribed by Stanley E Payne


Book ID
107884726
Publisher
Elsevier Science
Year
1971
Tongue
English
Weight
303 KB
Volume
10
Category
Article
ISSN
0097-3165

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Generalized Hexagons as Amalgamations of
โœ H. Van Maldeghem; I. Bloemen ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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