## Innovations in Incidence Geometry

### On polar ovals in cyclic projective planes

#### 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.

#### Article information

Source
Innov. Incidence Geom., Volume 12, Number 1 (2011), 35-48.

Dates
First available in Project Euclid: 28 February 2019

https://projecteuclid.org/euclid.iig/1551323067

Digital Object Identifier
doi:10.2140/iig.2011.12.35

Mathematical Reviews number (MathSciNet)
MR2942716

Zentralblatt MATH identifier
1302.51007

#### Citation

Chan, Kei Yuen; Law, Hiu Fai; Wong, Philip P. W. On polar ovals in cyclic projective planes. Innov. Incidence Geom. 12 (2011), no. 1, 35--48. doi:10.2140/iig.2011.12.35. https://projecteuclid.org/euclid.iig/1551323067

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