The feet of orthogonal Buekenhout–Metz unitals

IF 0.5 4区数学 Q3 MATHEMATICS

Advances in Geometry Pub Date : 2024-08-13 DOI:10.1515/advgeom-2024-0001

S.G. Barwick, W.-A. Jackson, P. Wild

引用次数: 0

Abstract

In this article we look at the geometric structure of the feet of an orthogonal Buekenhout–Metz unital 𝓤 in PG(2, q 2). 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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Buekenhout-Metz 正交单元脚

本文研究了 PG(2, q 2) 中正交布肯豪特-梅兹单元𝓤 脚的几何结构。我们证明，每个点的脚都构成一个类型为 (0, 1, 2, 4) 的集合。此外，我们还讨论了任何 4-secants 的结构，并准确地确定了脚何时形成弧。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Geometry 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Geometry is a mathematical journal for the publication of original research articles of excellent quality in the area of geometry. Geometry is a field of long standing-tradition and eminent importance. The study of space and spatial patterns is a major mathematical activity; geometric ideas and geometric language permeate all of mathematics.