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A characterization of Buekenhout-Metz unitals in PG(2,q2),qeven

✍ Scribed by Vito Abatangelo; Bambina Larato

Publisher: Springer
Year: 1996
Tongue: English
Weight: 392 KB
Volume: 59
Category: Article
ISSN: 0046-5755
DOI: 10.1007/bf00155725

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✦ Synopsis

The known examples of embedded unitals (i.e. Hermifian arcs) in PG(2, qZ) are B-unitals, i.e. they can be obtained from ovoids of PG(3, q) by a method due to Buekenhout. B-unitals arising from elliptic quadrics are called BM-unitals. Recently, BM-unitals have been classified and their collineation groups have been investigated. A new characterization is given in this paper. We also compute the linear collineation group fixing the B-unital arising from the Segre-Tits ovoid of PG(3, U), r _> 3 odd. It turns out that this group is an Abelian group of order q2.

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