Buekenhout unitals

The only known enumeration of Buekenhout unitals occurs in the Desarguesian plane PG(2, q2). In this paper we develop general techniques for enumerating the nonsingular Buekenhout unitals embedded in any two-dimensional translation plane, and apply these techniques to obtain such an enumeration in the regular nearfield planes, the odd-order Hall planes, and the flag-transitive affine planes. We also provide some computer data for small-order Andr

• Type: Journal
• Year: 1999
• Where: DM
• Authors: Gary L. Ebert
• Keywords: Buekenhout Unitals, DM 1999, Enumeration, Regular Nearfield Planes