Unitals in the Hall plane |
| |
Authors: | S. G. Barwick |
| |
Affiliation: | (1) Department of Pure Mathematics, University of Adelaide, 5005 Adelaide, Australia |
| |
Abstract: | The unitals in the Hall plane are studied by deriving PG(2,q2)and observing the effect on the unitals of PG(2,q2).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(q2)are not embeddable as Buekenhout unitals in the Desarguesian plane. Finally, we generalize this technique to other translation planes. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|