International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 1990 / Article

Research notes | Open Access

Volume 13 |Article ID 537875 | https://doi.org/10.1155/S0161171290001120

Hans Opolka, "Norms in finite galois extensions of the rationals", International Journal of Mathematics and Mathematical Sciences, vol. 13, Article ID 537875, 2 pages, 1990. https://doi.org/10.1155/S0161171290001120

Norms in finite galois extensions of the rationals

Received22 Aug 1989
Revised12 Dec 1989

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.

Copyright © 1990 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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