Hyperovals with a transitive collineation group |
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Authors: | Mauro Biliotti Gabor Korchmaros |
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Affiliation: | (1) Dipartimento di Matematica, Universitã di Lecce, Via Arnesano, 73100 Lecce, Italy;(2) Istituto di Matematica, Universitã degli Studi della Basilicata, Via N. Sauro, 85, 85100 Potenza, Italy |
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Abstract: | We investigate the structure of a collineation group G leaving invariant a hyperoval (n+2 — arc) of a finite projective plane of even order n. The main result is that n=2, 4 or 16 when G acts transitively on and 4¦|G|. The case n=16 is investigated in some details. |
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