Daniel Gil-Muñoz

activity

20202025

collaborators

3 papers

math.NT2025

Hopf-Galois module structure of monogenic orders in cubic number fields

Daniel Gil-Muñoz

For a cubic number field $L$ , we consider the $Z$ -order in $L$ of the form $Z [α]$ , where $α$ is a root of a polynomial of the form $x^{3} - a x + b$ and $a,b\in\mathbb{Z…

math.NT2024

Hopf-Galois module structure of degree p extensions of p-adic fields

Daniel Gil-Muñoz

Let $p$ be an odd prime number. For a degree $p$ extension of $p$ -adic fields $L / K$ , we give a complete characterization of the condition for the ring of integers $O_{L}$ t…

math.NT2020

Hopf Galois module structure of dihedral degree $2 p$ extensions of $Q_{p}$

Daniel Gil-Muñoz, Anna Rio

Let $p$ be an odd prime. For field extensions $L / Q_{p}$ with Galois group isomorphic to the dihedral group $D_{2 p}$ of order $2 p$ , we consider the problem of computing a bas…

Hopf-Galois module structure of monogenic orders in cubic number fields

Hopf-Galois module structure of degree p extensions of p-adic fields

Hopf Galois module structure of dihedral degree 2p extensions of Qp​

Hopf Galois module structure of dihedral degree $2 p$ extensions of $Q_{p}$