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