The automorphism group of the Klein curve in the mapping class group of genus 3 (Q676747)
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scientific article; zbMATH DE number 993529
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The automorphism group of the Klein curve in the mapping class group of genus 3 |
scientific article; zbMATH DE number 993529 |
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The automorphism group of the Klein curve in the mapping class group of genus 3 (English)
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14 May 1997
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In this paper, the author describes an explicit representation of \(\text{PSL}_2 (E_7)\) in the mapping class group of a closed orientable surface of genus 3. As a consequence of Nielsen's realization theorem, there is an explicit topological model of the action of the group of conformal automorphisms of the Klein curve \(x^3y+ y^3z+ z^3x=0\).
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mapping class group
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conformal automorphisms
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Klein curve
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0.9378233
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0.92660093
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0.9225453
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0.9190866
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0.91514885
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0.90589356
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0.9055516
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