Unitals in the Hall Plane
Date
1997
Authors
Barwick, S.
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Journal article
Citation
Journal of Geometry, 1997; 58(1-2):26-42
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Abstract
The unitals in the Hall plane are studied by deriving PG(2, q<sup>2</sup>) and observing the effect on the unitals of PG(2, q<sup>2</sup>). The number of Buekenhout and Buekenhout-Metz unitals in the Hall plane is determined. As a corollary we show that the classical unital is not embeddable in the Hall plane as a Buekenhout unital and that the Buekenhout unitals of H(q<sup>2</sup>) are not embeddable as Buekenhout unitals in the Desarguesian plane. Finally, we generalize this technique to other translation planes. © Birkhäuser Verlag, Basel, 1997.