The configuration of bitangents of the Klein curve (Q1336653)
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scientific article; zbMATH DE number 681660
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The configuration of bitangents of the Klein curve |
scientific article; zbMATH DE number 681660 |
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The configuration of bitangents of the Klein curve (English)
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28 November 1994
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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.
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automorphism group
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Klein curve
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Steiner sets
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Aronhold sets
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geometric configuration
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Coxeter graph
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