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Irreducible collineation groups fixing an oval

✍ Scribed by Arrigo Bonisoli; Maria Rosaria Enea; Maria Rosaria Enea; Gábor Korchmáros


Publisher
Vandenhoeck & Ruprecht
Year
1999
Tongue
German
Weight
296 KB
Volume
69
Category
Article
ISSN
0025-5858

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Irreducible collineation groups fixing a
✍ Arrigo Bonisoli; Gábor Korchmáros 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 148 KB

Let G be an irreducible collineation group of a finite projective plane π 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 π. We assume |G| ≡ 0 mod 4. If G has no involutory elation, then G = O(G) S 2 with a cyclic Sylow 2-subg