Relative Galois module structure of quadratic extensions (Q1331232)
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scientific article; zbMATH DE number 621898
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Relative Galois module structure of quadratic extensions |
scientific article; zbMATH DE number 621898 |
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Relative Galois module structure of quadratic extensions (English)
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12 October 1994
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For quadratic extensions of number fields necessary and sufficient conditions are given for the ring of integers in the top field to be free as a module over the associated order in the group algebra of the Galois group over the bottom field. When this module is free, a generator is described.
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Galois module
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wild extension
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generator
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