Unitals in the Hall plane

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.