Embedding problems with ramification conditions (Q1104977)
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scientific article; zbMATH DE number 4057630
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Embedding problems with ramification conditions |
scientific article; zbMATH DE number 4057630 |
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Embedding problems with ramification conditions (English)
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1989
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For a solvable embedding problem over a number field \(K\), given by a group extension with abelian kernel, we find in the present paper that there exists a solution field \(M\), such that the extension \(M | K\) has a reduced ramification set, whenever \(K\) satisfies a certain condition on ideal class number.
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Galois theory
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Kummer theory
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Galois cohomology
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étale cohomology
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embedding problem
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ramification
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ideal class number
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