Abstract
The unitals in the Hall plane are studied by deriving PG(2,q 2)and observing the effect on the unitals of PG(2,q 2).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 embeddble in the Hall plane as a Buekenhout unital and that the Buekenhout unitals of H(q 2)are not embeddable as Buekenhout unitals in the Desarguesian plane. Finally, we generalize this technique to other translation planes.
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Barwick, S.G. Unitals in the Hall plane. J Geom 58, 26–42 (1997). https://doi.org/10.1007/BF01222924
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DOI: https://doi.org/10.1007/BF01222924