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On Near Hexagons and Spreads of Generalized Quadrangles

โœ Scribed by Bart De Bruyn

Book ID
110266612
Publisher
Springer
Year
2000
Tongue
English
Weight
108 KB
Volume
11
Category
Article
ISSN
0925-9899

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๐Ÿ“œ SIMILAR VOLUMES

Generalized Hexagons as Amalgamations of
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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

Maximal partial ovoids and maximal parti
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โœ K. Metsch; L. Storme ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 181 KB

## Abstract Maximal partial ovoids and maximal partial spreads of the hermitian generalized quadrangles __H__(3,__q__^2^) and __H__(4,__q__^2^) are studied in great detail. We present improved lower bounds on the size of maximal partial ovoids and maximal partial spreads in the hermitian quadrangle

Generalized Quadrangles with a Spread of
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โœ Bart De Bruyn ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 173 KB

We present a common construction for some known infinite classes of generalized quadrangles. Whether this construction yields other (unknown) generalized quadrangles is an open problem. The class of generalized quadrangles obtained this way is characterized in two different ways. On the one hand, th