Galois groups acting as linear fractional transformations (Q914748)
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scientific article; zbMATH DE number 4150328
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Galois groups acting as linear fractional transformations |
scientific article; zbMATH DE number 4150328 |
Statements
Galois groups acting as linear fractional transformations (English)
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1989
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Sei \(X\to Y\) eine Galoissche Überlagerung von Kurven über einem algebraisch abgeschlossenen Körper k; deren Galoisgruppe G sei eine Untergruppe von PGL(2,k), der Automorphismengruppe der projektiven Geraden \({\mathbb{P}}^ 1_ k\). Es wird gezeigt, daß \(X\to Y\) gleich dem ``pull back'' einer Galoisschen Überlagerung \({\mathbb{P}}^ 1_ k\to {\mathbb{P}}^ 1_ k\) mit derselben Gruppe G ist.
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coverings of curves
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projective curve
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automorphism group
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linear fractional transformation
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algebraic function field
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finite Galois extension
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Galois group
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0.7317829728126526
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0.7205236554145813
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0.7199990749359131
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