The Hasse norm principle for An-extensions

JOURNAL OF NUMBER THEORY

卷:211

Article

Macedo, Andre¹ 

[1] Univ Reading, Dept Math & Stat, Reading RG6 6AX, Berks, England

关键词: Local-global principles;    Arithmetic of algebraic tori;    Group cohomology;    Computational methods;   

DOI  :  10.1016/j.jnt.2019.10.020

来源: Elsevier

【 摘 要 】

We prove that, for every n >= 5, the Hasse norm principle holds for a degree n extension K/k of number fields with normal closure N such that Gal(N/k) congruent to A(n). We also show the validity of weak approximation for the associated norm one tori. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free