The Norm Exponent in Galois Extensions of Number Fields

Hans Opolka · Proceedings of the American Mathematical Society · 1987

The purpose of this note is to provide an upper bound for the exponent of the norm residue group ${k^ * }/\operatorname {Norm}_{K/k}({K^ * })$ of a finite Galois extension $K/k$ of number fields in terms of a certain central extension of $K/k$.

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