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Bibliographic Details
Main Authors: Koymans, Peter, Rome, Nick
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2301.10136
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Table of Contents:
  • Let $A$ be a finite, abelian group. We show that the density of $A$-extensions satisfying the Hasse norm principle exists, when the extensions are ordered by discriminant. This strengthens earlier work of Frei--Loughran--Newton \cite{FLN}, who obtained a density result under the additional assumption that $A/A[\ell]$ is cyclic with $\ell$ denoting the smallest prime divisor of $\# A$.