Blokhuis, Aart and Kovács, István and Nagy, Gábor Péter and Szőnyi, Tamás (2019) Inherited conics in Hall planes. DISCRETE MATHEMATICS, 342 (4). pp. 1098-1107. ISSN 0012-365X
|
Text
1805.09984.pdf Download (215kB) | Preview |
Official URL: https://doi.org/10.1016/j.disc.2018.12.009
Abstract
The existence of ovals and hyperovals is an old question in the theory of non-Desarguesian planes. The aim of this paper is to describe when a conic of PG(2,q) remains an arc in the Hall plane obtained by derivation. Some combinatorial properties of the inherited conics are obtained also in those cases when it is not an arc. The key ingredient of the proof is an old lemma by Segre–Korchmáros on Desargues configurations with perspective triangles inscribed in a conic.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ARCS; Finite projective planes; HALL PLANES; |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 13 Feb 2023 10:44 |
| Last Modified: | 13 Feb 2023 10:44 |
| URI: | http://real.mtak.hu/id/eprint/158880 |
Actions (login required)
 |
Edit Item |
