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All generalized quadrangles of order 3 are known

โœ Scribed by Stanley E Payne

Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
203 KB
Volume
18
Category
Article
ISSN
0097-3165

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๐Ÿ“œ SIMILAR VOLUMES

3-regularity in generalized quadrangles
3-regularity in generalized quadrangles of order (s, s2)
โœ J. A. Thas ๐Ÿ“‚ Article ๐Ÿ“… 1984 ๐Ÿ› Springer ๐ŸŒ English โš– 194 KB

If (x,y,z) is a 3-regular triad of a generalized quadrangle S=(P,B,I) of order (s, s2), s even, then {x,y,z}lu {x, y,z} ยฑยฑ is contained in a subquadrangle of order s. As an application it is proved that a generalized quadrangle of order (4, 16) with at least one 3-regular triad is isomorphic to the

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Let S=(P, B, I) be a generalized quadrangle of order (q, q 2 ), q>1, and assume that S satisfies Property (G) at the flag (x, L). If q is odd then S is the dual of a flock generalized quadrangle. This solves (a stronger version of ) a ten-year-old conjecture. We emphasize that this is a powerful the

Generalized Quadrangles of Order (s, s2)
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โœ J.A Thas ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 514 KB

ac.be. \* . The set of all points r i \* is denoted by B; we have |B| =q 2n . Further, let A be the set of all intersections of PG(n+1, q n ) with the tangent lines of the conics C i at s 1 . The tangent line U i of C i at s 1 belongs to {ร„ , hence of B and just one point of A. Let ? be the plane c