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1981 | OriginalPaper | Buchkapitel

Motions in a Finite Hyperbolic Plane

verfasst von : Cyril W. L. Garner

Erschienen in: The Geometric Vein

Verlag: Springer New York

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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.

Metadaten
Titel
Motions in a Finite Hyperbolic Plane
verfasst von
Cyril W. L. Garner
Copyright-Jahr
1981
Verlag
Springer New York
DOI
https://doi.org/10.1007/978-1-4612-5648-9_32