✦ LIBER ✦

Generalized quadrangles of order 4. II

✍ Scribed by Stanley E Payne

Publisher: Elsevier Science
Year: 1977
Tongue: English
Weight: 436 KB
Volume: 22
Category: Article
ISSN: 0097-3165
DOI: 10.1016/0097-3165(77)90003-6

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Generalized quadrangles of order 4. I

✍ Stanley E Payne 📂 Article 📅 1977 🏛 Elsevier Science 🌐 English ⚖ 693 KB

Generalized Quadrangles of Order (s, s2)

Generalized Quadrangles of Order (s, s2), II

✍ J.A Thas 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 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 {Ä , hence of B and just one point of A. Let ? be the plane c

Generalized Quadrangles of Order (s, s2)

Generalized Quadrangles of Order (s, s2), III

✍ J.A. Thas 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 212 KB

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

All generalized quadrangles of order 3 a

All generalized quadrangles of order 3 are known

✍ Stanley E Payne 📂 Article 📅 1975 🏛 Elsevier Science 🌐 English ⚖ 203 KB

3-regularity in generalized quadrangles

3-regularity in generalized quadrangles of order (s, s2)

✍ J. A. Thas 📂 Article 📅 1984 🏛 Springer 🌐 English ⚖ 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} ±± 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

Subquadrangles of Generalized Quadrangle

Subquadrangles of Generalized Quadrangles of Order (q2, q), q Even

✍ Christine M. O'Keefe; Tim Penttila 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 137 KB

First, we survey the known generalized quadrangles of order (q 2 , q), q even, including a description of their known subquadrangles of order q. Then, in the case of Tits' generalized quadrangles, we completely classify the subquadrangles of order q, while in the case of the flock quadrangles we cla