Daniel Gil-Muñoz

collaborators

4 papers

math.NT2026

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

Daniel Gil-MuÃ±oz

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.NT2025

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

Daniel Gil-MuÃ±oz

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

math.GR2025

Determining skew left braces of size np

Teresa Crespo, Daniel Gil-MuÃ±oz, Anna Rio +1

We define the twofold semidirect product of two skew left braces, in which both the additive and multiplicative groups are semidirect products of the corresponding groups of the gi…

math.NT2025

Additive structure of non-monogenic simplest cubic fields

We consider Shanks' simplest cubic fields $K$ for which the index $[O_{K} : Z [I ¨ ]]$ of a root $I ¨ $ of the defining parametric polynomial is $3$ . For them, we study t…