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Antonio Maschietti

Two-transitive ovals

Keywords: Suzuki group, Projective plane, oval, spread, symplectic translation plane, Lneburg plane

An oval 𝒪 of a projective plane is called two-transitive if there is a collineation group G fixing 𝒪 and acting 2-transitively on its points. If the plane has odd order, then the plane is desarguesian and the oval is a conic. In the present paper we prove that if a plane has order a power of two and admits a two-transitive oval, then either the plane is desarguesian and the oval is a conic, or the plane is dual to a Lüneburg plane.

Advances in Geometry, Walter de Gruyter

Print ISSN: 1615-715X
Volume: 6, 03/2006
Pages: 323 - 332

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