The Non-existence of Ovoids inO9(q)
β Scribed by Athula Gunawardena; G.Eric Moorhouse
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 200 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0195-6698
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β¦ Synopsis
We prove the non-existence of ovoids in finite orthogonal spaces of type O 2 n Ο© 1 ( q ) for n Ρ 4 .
π SIMILAR VOLUMES
For q = 32h\*',h 2 0, we investigate the intersections of Hermitian and Ree ovoids of the generalized hexagon H ( q ) . 0 1996 John Wiley & Sons, h e . ## 1. Introduction A finite generalized hexagon of order (s, t ) , s, t 2 1 is a 1 -(v, s + 1, t + 1) design S = (F', B,Z) whose incidence graph h
In 1955, Hall and Paige conjectured that any "nite group with a noncyclic Sylow 2-subgroup admits complete mappings. For the groups GΒΈ(2, q), SΒΈ(2, q), PSΒΈ(2, q), and PGΒΈ(2, q) this conjecture has been proved except for SΒΈ(2, q), q odd. We prove that SΒΈ(2, q), q,1 modulo 4 admits complete mappings.