Unramified quadratic extensions of a quadratic field (Q1898292)
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scientific article; zbMATH DE number 796901
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Unramified quadratic extensions of a quadratic field |
scientific article; zbMATH DE number 796901 |
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Unramified quadratic extensions of a quadratic field (English)
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28 July 1996
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The authors determine all quartic number fields \(L/\mathbb{Q}\) possessing a quadratic subfield \(\mathbb{Q}\subset K\subset L\) such that \(L/K\) is unramified at all finite primes. They do this by an explicit calculation of the generators and make no use of Hilbert's theory.
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unramified quadratic extensions
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quartic number fields
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