Enumeration of orthogonal Buekenhout unitals

In this paper we develop general techniques for enumerating orthogonal Buekenhout unitals embedded in two-dimensional translation planes. We then apply these techniques in the regular nearfield planes, the odd-order Hall planes, and the odd-order flag-transitive affine planes. Stabilizers of the resulting unitals also are computed.

• Type: Journal
• Year: 2010
• Where: DCC
• Authors: R. D. Baker, Gary L. Ebert, Kenneth L. Wantz
• Keywords: Computer Graphics, DCC 2010, Flag-transitive Affine Planes, Regular Nearfield Planes, Two-dimensional Translation Planes