Norms in finite Galois extensions of the rationals
type: Item
instance of: scholarly article
title: Norms in finite Galois extensions of the rationals
zbMATH Open document ID: 0686.12006
DOI: 10.1155/S0161171290001120
author: Hans Opolka
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1990-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/46430
review text: 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.
reviewed by: Hans Opolka
Mathematics Subject Classification ID: 11R37
Mathematics Subject Classification ID: 11R04
zbMATH DE Number: 4123842
zbMATH Keywords: rational number
zbMATH Keywords: norm
zbMATH Keywords: finite Galois extension
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4123842