Daniel Gil-Muñoz

activity

20192025

most citedInduced Hopf Galois Structures and their Local Hopf Galois Modules

3 citations · 4 across the 9 of their papers we have counts for

collaborators

Showing 2022 · math.NTShow all

3 papers · 2 filters

math.NT2022★ 1 cited

Additive structure of non-monogenic simplest cubic fields

Daniel Gil-Muñoz, Magdaléna Tinková

We consider Shanks' simplest cubic fields $K$ for which the index $[O_{K} : Z [ρ]]$ of a root $ρ$ of the defining parametric polynomial is $3$ . For them, we study the…

math.NT2022

Inducing braces and Hopf Galois structures

Teresa Crespo, Daniel Gil-Muñoz, Anna Rio +1

Let $p$ be a prime number and let $n$ be an integer not divisible by $p$ and such that every group of order $n p$ has a normal subgroup of order $p$ . (This holds in particular for $…

math.NT2022

The ring of integers of Hopf-Galois degree p extensions of p-adic fields with dihedral normal closure

Daniel Gil-Muñoz

For an odd prime number $p$ , we consider degree $p$ extensions $L / K$ of $p$ -adic fields with normal closure $L$ such that the Galois group of $L / K$ is the d…