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Hyperovals with a transitive collineation group

✍ Scribed by Mauro Biliotti; Gabor Korchmaros

Publisher
Springer
Year
1987
Tongue
English
Weight
687 KB
Volume
24
Category
Article
ISSN
0046-5755

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✦ Synopsis

We investigate the structure of a collineation group G leaving invariant a hyperoval (n + 2 -arc) ~ of a finite projective plane n of even order n. The main result is that n = 2,4 or 16 when G acts transitively on Β£~ and 4] IGI. The case n = 16 is investigated in some details.

πŸ“œ SIMILAR VOLUMES

Irreducible collineation groups fixing a
Irreducible collineation groups fixing a hyperoval
✍ Arrigo Bonisoli; GΓ‘bor KorchmΓ‘ros πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 148 KB

Let G be an irreducible collineation group of a finite projective plane Ο€ of even order n ≑ 0 mod 4. Our goal is to determine the structure of G under the hypothesis that G fixes a hyperoval Ω of Ο€. We assume |G| ≑ 0 mod 4. If G has no involutory elation, then G = O(G) S 2 with a cyclic Sylow 2-subg