#### Vol. 12, No. 1, 2011

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On polar ovals in cyclic projective planes

### Kei Yuen Chan, Hiu Fai Law and Philip P. W. Wong

Vol. 12 (2011), No. 1, 35–48
##### Abstract

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

##### Keywords
ovals, polarity, cyclic difference sets, projective planes
##### Mathematical Subject Classification 2010
Primary: 05B10, 05B25, 51E15, 51E21