1981 | OriginalPaper | Buchkapitel
Motions in a Finite Hyperbolic Plane
verfasst von : Cyril W. L. Garner
Erschienen in: The Geometric Vein
Verlag: Springer New York
Enthalten in: Professional Book Archive
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Let P be a finite projective plane of arbitrary odd order n, and let π be a regular polarity of P: that is, a polarity for which there exists an integer s = s(π) such that every line containing two or more absolute points of π contains s + 1 absolute points [11, p. 247J. Baer [1] has shown that the absolute points form an oval when n is odd and nonsquare, and Segre [13] has shown that every oval in a Desarguesian projective plane is a conic.