A. Rio

activity

20012023

most citedFrom Galois to Hopf Galois: theory and practice

6 citations · 16 across the 11 of their papers we have counts for

collaborators

13 papers

math.GR2023

Determining skew left braces of size np

Teresa Crespo, Daniel Gil-Muñoz, 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.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.GR2022

Left braces of size 8p

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

We describe all left braces of size 8p for p an odd prime different from 3 or 7 and validate the number given by Bardakov, Neschadim and Yadav. We give a characterization for isomo…

math.NT2021

Hopf-Galois module structure of quartic Galois extensions of $Q$

Daniel Gil-Muñoz, Anna Rio

Given a quartic Galois extension $L / Q$ of number fields and a Hopf-Galois structure $H$ on $L / Q$ , we study the freeness of the ring of integers $O_{L}$ as…

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…

math.NT2019★ 3 cited

Induced Hopf Galois Structures and their Local Hopf Galois Modules

Daniel Gil-Muñoz, Anna Rio

The regular subgroup determining an induced Hopf Galois structure for a Galois extension $L / K$ is obtained as the direct product of the corresponding regular groups of the inducing…

math.GR2017★ 2 cited