Article ID Journal Published Year Pages File Type
4583327 Finite Fields and Their Applications 2008 9 Pages PDF
Abstract

We show that the generalized quadrangle W3(q) for odd q has exponentially many -ovoids, thus implying that the generalized quadrangle Q(4,q) has exponentially many hemisystems for odd q. For q even, we show that W3(q) has m-ovoids for all integers m, 1⩽m⩽q. Stabilizers are determined, and some computer results are given.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory