Fabio Ferri

collaborators

2 papers

math.NT2020

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

Ilaria Del Corso, Fabio Ferri, Davide Lombardo

Let $L / K$ be a finite Galois extension of $p$ -adic fields with group $G$ . It is well-known that $O_{L}$ contains a free $O_{K} [G]$ -submodule of finite index. We stu…

math.NT2018

Tame Galois module structure revisited

Fabio Ferri, Cornelius Greither

A number field $K$ is Hilbert-Speiser if all of its tame abelian extensions $L / K$ admit NIB (normal integral basis). It is known that $Q$ is the only such field, but when…

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

Tame Galois module structure revisited

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