Adelaide Research & Scholarship
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https://hdl.handle.net/2440/3610
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| Type: | Journal article |
| Title: | Unitals in the Hall Plane |
| Author: | Barwick, S. |
| Citation: | Journal of Geometry, 1997; 58(1-2):26-42 |
| Publisher: | Springer Science and Business Media LLC |
| Issue Date: | 1997 |
| ISSN: | 0047-2468 1420-8997 |
| 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 embeddable 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. © Birkhäuser Verlag, Basel, 1997. |
| DOI: | 10.1007/BF01222924 |
| Published version: | http://dx.doi.org/10.1007/bf01222924 |
| Appears in Collections: | Aurora harvest 6 Pure Mathematics publications |
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