A 2-extension of the field \(\mathbb{Q}\) of rational numbers (Q1303344)
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scientific article; zbMATH DE number 1337581
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A 2-extension of the field \(\mathbb{Q}\) of rational numbers |
scientific article; zbMATH DE number 1337581 |
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A 2-extension of the field \(\mathbb{Q}\) of rational numbers (English)
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5 October 1999
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The author proves that there is one and only one normal 2-extension \(K/\mathbb{Q}\) with Galois group isomorphic to the free pro-2-product of \(\mathbb{Z}_2\) and \(\mathbb{Z}/2\mathbb{Z}\). The field \(K\) is the maximal 2-extension of \(\mathbb{Q}\) unramified outside 2 and \(\infty\).
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