Norms in finite galois extensions of the rationals

Hans Opolka

International Journal of Mathematics and Mathematical Sciences, 1990, vol. 13, 1-2

Abstract:

We show that under certain conditions 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.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:537875

DOI: 10.1155/S0161171290001120

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