On the parity of the class number of multiquadratic number fields (Q1019824)
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scientific article; zbMATH DE number 5559076
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the parity of the class number of multiquadratic number fields |
scientific article; zbMATH DE number 5559076 |
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On the parity of the class number of multiquadratic number fields (English)
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28 May 2009
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Let \(p_1, p_2, \dots, p_n\) be distinct primes and \(K = \mathbb Q(\sqrt{p_1}, \dots,\sqrt{p_n})\). In this paper, by studying the parity of the class number of multiquadratic number fields, the author deduces, in the case \(n=4\), a list of all fields \(K\) whose 2-class group is trivial.
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class group
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units
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class number
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multiquadratic number fields
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