๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Affine representations of generalized quadrangles

โœ Scribed by Stanley E Payne

Publisher
Elsevier Science
Year
1970
Tongue
English
Weight
702 KB
Volume
16
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Generalized Hexagons as Amalgamations of
Generalized Hexagons as Amalgamations of Generalized Quadrangles
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

Geometrical Constructions of Flock Gener
Geometrical Constructions of Flock Generalized Quadrangles
โœ J.A Thas ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 121 KB

With any flock F of the quadratic cone K of PG(3, q) there corresponds a generalized quadrangle S(F) of order (q 2 , q). For q odd Knarr gave a pure geometrical construction of S(F) starting from F. Recently, Thas found a geometrical construction of S(F) which works for any q. Here we show how, for

Generalized Quadrangles with a Spread of
Generalized Quadrangles with a Spread of Symmetry
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