The configuration of bitangents of the Klein curve
type: Item
instance of: scholarly article
title: The configuration of bitangents of the Klein curve
zbMATH Open document ID: 0808.05059
DOI: 10.1016/0012-365X(94)90233-X
author: R. H. Jeurissen
author: C. H. van Os
author: Jozef Steenbrink
published in: Discrete Mathematics
publication date: 1994-11-28T00:00:00Z
review text: The Klein curve is the unique plane curve with the maximal number 168 of automorphisms. In this paper a complete description of Steiner sets and Aronhold sets of the Klein curve and their orbits under the group of the curve is given. The results are obtained using the relation between the geometric configuration , the Coxeter graph and the regular 2-graph on 28 points. A model is derived for the self-dual configuration of \(21+28\) points and \(21+28\) lines associated with the Klein curve.
reviewed by: Ulrike Baumann
Mathematics Subject Classification ID: 05C25
zbMATH DE Number: 681660
zbMATH Keywords: automorphism group
zbMATH Keywords: Klein curve
zbMATH Keywords: Steiner sets
zbMATH Keywords: Aronhold sets
zbMATH Keywords: geometric configuration
zbMATH Keywords: Coxeter graph
MaRDI profile type: Publication
cites work: Q5759833
cites work: My Graph
cites work: Q3278364
cites work: A proof by graphs that PSL(2,7)\(\cong PSL(3,2)\)
cites work: Regular 2-Graphs
full work available at URL: 0012-365x(94)90233-x
OpenAlex ID: W2020245865
Wikidata QID: Q127719488
description: scientific article; zbMATH DE number 681660