Affiliation:
1. Dipartimento di Matematica, Università “La Sapienza”, P.le A. Moro, 00182 Roma, Italy.
Abstract
Abstract
The following result concerning completely regular ovals is proved: Let Π be a projective plane of even order and let 𝒪 be a completely regular oval with nucleus N. Then Π is (N,N)-transitive. Combining this result with previous results [A. Maschietti, Symplectic translation planes and line ovals. Adv. Geom.
3 (2003), 123–143. MR1967995 (2004c:51008) Zbl 1030.51002] 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.
Cited by
2 articles.
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