The following result concerning completely regular ovals is proved: Let Pi be a projective plane of even order and let O be a completely regular oval with nucleus N. Then Pi is (N, N)-transitive. Combining this result with previous results [13] one obtains: A projective plane of even order admits a completely regular oval if and only if the plane is dual to a symplectic translation plane.
Completely regular ovals / Maschietti, Antonio. - In: ADVANCES IN GEOMETRY. - ISSN 1615-715X. - STAMPA. - 6:3(2006), pp. 361-377. [10.1515/advgeom.2006.022]
Completely regular ovals
MASCHIETTI, Antonio
2006
Abstract
The following result concerning completely regular ovals is proved: Let Pi be a projective plane of even order and let O be a completely regular oval with nucleus N. Then Pi is (N, N)-transitive. Combining this result with previous results [13] one obtains: A projective plane of even order admits a completely regular oval if and only if the plane is dual to a symplectic translation plane.File allegati a questo prodotto
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