Open Access
2011 On polar ovals in cyclic projective planes
Kei Yuen Chan, Hiu Fai Law, Philip P. W. Wong
Innov. Incidence Geom. 12: 35-48 (2011). DOI: 10.2140/iig.2011.12.35

Abstract

A condition is introduced on the abelian difference set D of an abelian projective plane of odd order so that the oval 2 D is the set of absolute points of a polarity, with the consequence that any such abelian projective plane is Desarguesian.

Citation

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Kei Yuen Chan. Hiu Fai Law. Philip P. W. Wong. "On polar ovals in cyclic projective planes." Innov. Incidence Geom. 12 35 - 48, 2011. https://doi.org/10.2140/iig.2011.12.35

Information

Received: 15 December 2009; Published: 2011
First available in Project Euclid: 28 February 2019

zbMATH: 1302.51007
MathSciNet: MR2942716
Digital Object Identifier: 10.2140/iig.2011.12.35

Subjects:
Primary: 05B10 , 05B25 , 51E15 , 51E21

Keywords: cyclic difference sets , ovals , polarity , projective planes

Rights: Copyright © 2011 Mathematical Sciences Publishers

Vol.12 • 2011
MSP
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