Feet in orthogonal-Buekenhout–Metz unitals-Reference-Cited by-同舟云学术

Feet in orthogonal-Buekenhout–Metz unitals

Published:2018-03-26 Issue:2 Volume:18 Page:229-236
ISSN:1615-7168
Container-title:Advances in Geometry
language:en
Short-container-title:

Author:

Abarzúa N.¹,Pomareda R.²,Vega O.³

Affiliation:

1. Universidad Adolfo Ibañez , Santiago , Chile

2. Universidad de Chile , Santiago , Chile

3. California State University , Fresno , USA

Abstract

Abstract Given an orthogonal-Buekenhout–Metz unital Uα,β , embedded in PG(2, q 2), and a point P ∉ Uα,β , we study the set τP (Uα,β ) of feet of P in Uα,β . We characterize geometrically each of these sets as either q + 1 collinear points or as q + 1 points partitioned into two arcs. Other results about the geometry of these sets are also given.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/document/doi/10.1515/advgeom-2017-0050/pdf

Reference10 articles.

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4. F. Buekenhout, Existence of unitals in finite translation planes of order q2 with a kernel of order q. Geometriae Dedicata5 (1976), 189–194. MR0448236 Zbl 0336.50014

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