Unit indices of imaginary abelian number fields of type \((2,2,2)\) (Q917595)
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scientific article; zbMATH DE number 4156575
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Unit indices of imaginary abelian number fields of type \((2,2,2)\) |
scientific article; zbMATH DE number 4156575 |
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Unit indices of imaginary abelian number fields of type \((2,2,2)\) (English)
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1990
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Es seien \(K={\mathbb Q}(\sqrt{-d_ 0},\sqrt{d_ 1},\sqrt{d_ 2})\) und \(K_ 0={\mathbb Q}(\sqrt{d_ 1},\sqrt{d_ 2})\), wobei \(d_ 0\), \(d_ 1\), \(d_ 2\) von einander verschiedene positive quadratfreie ganze Zahlen mit \(d_ 1,d_ 2\geq 2\) sind. Der Autor bestimmt den Einheitenindex von \(K/K_ 0\) mit Hilfe der Grundeinheiten der reellen quadratischen Unterkörper von \(K\).
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unit index
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imaginary abelian field
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fundamental units
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