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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 13 (1990), Issue 4, Pages 811-812
doi:10.1155/S0161171290001120

Norms in finite Galois extensions of the rationals

Hans Opolka

Mathematisches Institut, Universität Göttingen, Bunsenstrasse 3-5, Göttingen D-3400, Germany

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.