How far is an extension of p-adic fields from having a normal integral basis?-Reference-Cited by-同舟云学术

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How far is an extension of p-adic fields from having a normal integral basis?

Published:2022-04 Issue: Volume:233 Page:158-197
ISSN:0022-314X
Container-title:Journal of Number Theory
language:en
Short-container-title:Journal of Number Theory

Author:

Del Corso Ilaria^ORCID,Ferri Fabio^ORCID,Lombardo Davide

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference33 articles.

1. Class Field Theory;Artin,2009

2. Arithmétique d'une extension galoisienne à groupe d'inertie cyclique;Bergé;Ann. Inst. Fourier (Grenoble),1978

3. A propos du genre de l'anneau des entiers d'une extension;Bergé,1981

4. Sur les extensions cycliques de degré pn d'un corps local;Bertrandias;Acta Arith.,1979

5. Sur l'anneau des entiers d'une extension cyclique de degré premier d'un corps local;Bertrandias;C. R. Acad. Sci. Paris, Sér. A-B,1972

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A generalization of Kummer theory to Hopf-Galois extensions;Journal of Algebra;2024-12

2. On the existence of free sublattices of bounded index and arithmetic applications;Journal of Algebra;2024-11

3. The ring of integers of Hopf-Galois degree p extensions of p-adic fields with dihedral normal closure;Journal of Number Theory;2023-04

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