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arXiv · 2110.03782

Hasse norm principle for Galois dihedral extensions

Felipe Rivera-Mesas
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Abstract

Let $L/k$ an Galois extension of number fields with Galois group isomorphic to a dihedral group of order $2n$. In this note, we give a general description of the Hasse norm principle for $L/k$ and the weak approximation for the norm one torus $R^1_{L/k}(\mathbb{G}_m)$ associated to $L/k$.

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Felipe Rivera-Mesas. 2021-10-07. Hasse norm principle for Galois dihedral extensions. https://arxiv.org/abs/2110.03782

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