On cyclic \(k\)-arcs of Singer type in \(\text{PG}(2,q)\)
type: Item
instance of: scholarly article
title: On cyclic \(k\)-arcs of Singer type in \(\text{PG}(2,q)\)
zbMATH Open document ID: 1022.51008
DOI: 10.1016/S0012-365X(01)00394-6
published in: Discrete Mathematics
publication date: 2002-12-02T00:00:00Z
review text: A \(k\)-arc in a projective plane is a set of points, no three of which are collinear. Suppose now that \(K\) is a \(k\)-arc in \(\text{PG}(2,q)\), \(q=p^l\), \(p\) prime, consisting of the points of a point orbit under a subgroup \(G\) of a Singer group of \(\text{PG}(2,q)\). The author proves that if \(p\) is greater than 5, and if \(2k\) is different from \(-2,1,2,4 \pmod p\), then \(k \leq \frac{44}{45}q+\frac{8}{9}\).
reviewed by: Bart De Bruyn
Mathematics Subject Classification ID: 51E21
zbMATH DE Number: 1838887
zbMATH Keywords: projective plane
zbMATH Keywords: cyclic arc
zbMATH Keywords: Singer group
zbMATH Keywords: algebraic curve
author: Massimo Giulietti
MaRDI profile type: Publication
full work available at URL: s0012-365x(01)00394-6
OpenAlex ID: W2017557093
description: scientific article; zbMATH DE number 1838887