Quadratic number fields having \([-1,-1]\) as a non-trivial element of their wild kernel (Q677621)
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scientific article; zbMATH DE number 998498
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quadratic number fields having \([-1,-1]\) as a non-trivial element of their wild kernel |
scientific article; zbMATH DE number 998498 |
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Quadratic number fields having \([-1,-1]\) as a non-trivial element of their wild kernel (English)
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16 November 1997
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The author shows that for imaginary quadratic number fields \(F=\mathbb{Q} (\sqrt{d}) (d<0)\) with \(d \equiv 2 \bmod 16\) the symbol \([-1,-1]\) is a non-trivial element in the wild kernel of \(F\).
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imaginary quadratic number fields
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wild kernel
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0.8948603
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0.8827055
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0.88065636
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0.8803589
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0.87836814
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0.8771094
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0.8754787
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