On the 2-class group of \(\mathbb{Q}(\sqrt{d},i)\) (Q1284646)
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scientific article; zbMATH DE number 1279152
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the 2-class group of \(\mathbb{Q}(\sqrt{d},i)\) |
scientific article; zbMATH DE number 1279152 |
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On the 2-class group of \(\mathbb{Q}(\sqrt{d},i)\) (English)
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1 June 1999
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The author determines all positive squarefree integers \(d\) such that the \(2\)-class group of the biquadratic number field \(\mathbb Q(\sqrt{d},i)\) has type \((2,2)\). The methods used include genus theory, the class number formula for biquadratic extensions, and the ambiguous class number formula.
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biquadratic number fields
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class number formula
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2-class group
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