On fields of algebraic numbers with bounded local degrees (Q627258)
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scientific article; zbMATH DE number 5853928
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On fields of algebraic numbers with bounded local degrees |
scientific article; zbMATH DE number 5853928 |
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On fields of algebraic numbers with bounded local degrees (English)
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21 February 2011
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The authors prove that there exists a family \(\{K_m\}_{m\geq 1}\) of (nonabelian) finite Galois extensions of \({\mathbb Q}\) such that their compositum \(K=\prod_{m\geq 1}K_m\) in \(\bar{\mathbb Q}\) has uniformly bounded local degrees but cannot be generated by elements of bounded degree.
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Galois extension
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uniformly bounded local degrees
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