A remark about the Galois module structure in ray class fields over imaginary quadratic number fields (Q1801581)
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scientific article; zbMATH DE number 205454
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A remark about the Galois module structure in ray class fields over imaginary quadratic number fields |
scientific article; zbMATH DE number 205454 |
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A remark about the Galois module structure in ray class fields over imaginary quadratic number fields (English)
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31 August 1993
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Let \(K\) be a quadratic imaginary number field of discriminant \(-8\), \(- 11\), \(-19\), \(-43\), \(-67\) or \(-163\), and for a prime ideal \({\mathfrak p}\) in \(L\) let \(K({\mathfrak p})\) be the ray class field of conductor \({\mathfrak p}\) over \(K\). It is shown for an infinite number of prime ideals \({\mathfrak p}\), that the tame extension \(K({\mathfrak p})/K\) has no normal integral basis.
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Galois module structure
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imaginary quadratic field
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ray class field
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tame extension
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normal integral basis
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