Transitive and Co-Transitive Caps
| dc.creator | Cossidente, A. | |
| dc.creator | King, O. H. | |
| dc.date | 2000-07-28 | |
| dc.date.accessioned | 2026-07-07T04:36:33Z | |
| dc.date.available | 2026-07-07T04:36:33Z | |
| dc.description | A cap in PG(r,q) is a set of points, no three of which are collinear. A cap is said to be transitive if its automorphism group in PGammaL(r+1,q) acts transtively on the cap, and co-transitive if the automorphism group acts transtively on the cap's complement in PG(r,q). Transitive, co-transitive caps are characterized as being one of: an elliptic quadric in PG(3,q); a Suzuki-Tits ovoid in PG(3,q); a hyperoval in PG(2,4); a cap of size 11 in PG(4,3); the complement of a hyperplane in PG(r,2); or a union of Singer orbits in PG(r,q) whose automorphism group comes from a subgroup of GammaL(1,q^{r+1}). | |
| dc.description | To appear in The Bulletin of the Belgian Mathematical Society - Simon Stevin | |
| dc.identifier | https://arxiv.org/abs/math/0007177 | |
| dc.identifier | http://arxiv.org/abs/math/0007177 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59639 | |
| dc.subject | Combinatorics | |
| dc.subject | Group Theory | |
| dc.subject | 51E22 (Primary) 20B15, 20B25 (Secondary) | |
| dc.title | Transitive and Co-Transitive Caps | |
| dc.type | text |