In the present paper all parabolic ovals in affine planes of even order $q\leq 64$ which are preserved by a collineation group isomorphic to $\mathrm{A}\Gamma\mathrm{L}(1,q)$ are determined. It turns out that hey are either parabolas or translation ovals.
Doubly transitive parabolic ovals in affine planes of even order $n leq 64$
KORCHMAROS, Gabor;SONNINO, Angelo
2012-01-01
Abstract
In the present paper all parabolic ovals in affine planes of even order $q\leq 64$ which are preserved by a collineation group isomorphic to $\mathrm{A}\Gamma\mathrm{L}(1,q)$ are determined. It turns out that hey are either parabolas or translation ovals.File in questo prodotto:
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