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On the construction of a Hilbert field. - MaRDI portal

On the construction of a Hilbert field. (Q914747)

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scientific article; zbMATH DE number 4150326
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On the construction of a Hilbert field.
scientific article; zbMATH DE number 4150326

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    On the construction of a Hilbert field. (English)
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    1989
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    In a Besançon-thesis 1978, A. Kerkour has given a method of constructing explicitly unramified cyclic extensions of prime power degree of an algebraic number field. The author applies the method and computes the Hilbert class fields of \({\mathbb Q}(\sqrt{226})\) and \({\mathbb Q}(\sqrt{646})\).
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    unramified cyclic extensions
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    Hilbert class fields
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