Norms in finite Galois extensions of the rationals (Q1262343)

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scientific article; zbMATH DE number 4123842
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Norms in finite Galois extensions of the rationals
scientific article; zbMATH DE number 4123842

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    Norms in finite Galois extensions of the rationals (English)
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    1990
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    It is shown that, except for a certain special case, a rational number is a norm in a given finite Galois extension of the rationals if and only if this number is a local norm at a certain finite number of places in a certain finite abelian extension of the rationals.
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    rational number
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    norm
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    finite Galois extension
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