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The feet of orthogonal Buekenhout-Metz unitals

2022/10/19 by Barwick, S. G., Jackson, W. -A., Wild, P.
#51E20 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2210.10228

Abstract

In this article we look at the geometric structure of the feet of an orthogonal Buekenhout-Metz unital U in PG(2,q2). We show that the feet of each point form a set of type (0,1,2,4). Further, we discuss the structure of any 4-secants, and determine exactly when the feet form an arc.

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