The group \(\mathrm{Gal}(k_3^{(2)}|k)\) for \(k=\mathbb Q(\sqrt{-3},\sqrt{d})\) of type \((3,3)\) (Q2828371)
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scientific article; zbMATH DE number 6643151
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The group \(\mathrm{Gal}(k_3^{(2)}|k)\) for \(k=\mathbb Q(\sqrt{-3},\sqrt{d})\) of type \((3,3)\) |
scientific article; zbMATH DE number 6643151 |
Statements
25 October 2016
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3-class field tower
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principalization of 3-classes
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3-class groups
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3-dual quadratic fields
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bicyclic biquadratic fields
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dihedral fields
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metabelian 3-groups
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coclass graphs
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The group \(\mathrm{Gal}(k_3^{(2)}|k)\) for \(k=\mathbb Q(\sqrt{-3},\sqrt{d})\) of type \((3,3)\) (English)
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