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Items for "Projective plane"

Finite projective planes of order n with a 2-transitive orbit of length n – 3

We characterize the finite projective planes П of order n with a collineation group G acting 2-transitively on a point orbit of length n – 3...

Keywords: Projective plane, automorphism group, point orbit

01/2006 | Advances in Geometry, Walter de Gruyter
Two-transitive ovals

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...

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

03/2006 | Advances in Geometry, Walter de Gruyter
Completely regular ovals

The following result concerning completely regular ovals is proved: Let &Pgr; be a projective plane of even order and let 𝒪 be a completely regular oval with nucleus N...

Keywords: Projective plane, oval, spread, symplectic translation plane

07/2006 | Advances in Geometry, Walter de Gruyter
Automorphisms of Hilbert's non-desarguesian affine plane and its projective closure

Hilbert constructed an early example of a non-desarguesian plane by modifying the lines of the real plane inside an ellipse...

Keywords: Hilbert, non-desarguesian, affine plane, Projective plane, automorphism, collineation, inversion, algebraic curve, quadratic transformation

10/2007 | Advances in Geometry, Walter de Gruyter