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Generalized quadrangles, flocks, and BLT sets

โœ Scribed by William M. Kantor


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
361 KB
Volume
58
Category
Article
ISSN
0097-3165

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๐Ÿ“œ SIMILAR VOLUMES


Geometrical Constructions of Flock Gener
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

Nets and generalized quadrangles
โœ Dina Ghinelli; Udo Ott ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Springer ๐ŸŒ English โš– 639 KB
Intriguing sets in partial quadrangles
โœ John Bamberg; Frank De Clerck; Nicola Durante ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 316 KB

The point-line geometry known as a partial quadrangle (introduced by Cameron in 1975) has the property that for every point/line non-incident pair (P, ), there is at most one line through P concurrent with . So in particular, the well-studied objects known as generalized quadrangles are each partial