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

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6 papers · 1 filter

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.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.NT2013★ 3 cited

The Hopf Galois property in subfield lattices

Teresa Crespo, Anna Rio, Montserrat Vela

Hopf Galois theory for finite separable field extensions was introduced by Greither and Pareigis. They showed that all Hopf Galois extensions of degree up to 5 are either Galois or…

math.NT2001★ 2 cited

Octahedral Galois representations arising from Q-curves of degree 2

Julio Fernández-González, Joan-Carles Lario, Anna Rio

Generically, one can attach to a Q-curve C octahedral representations Gal(Qbar/Q) --> GL(2,Fbar_3) coming from the Galois action on the 3-torsion of those abelian varieties of GL_2…

Inducing braces and Hopf Galois structures

Hopf-Galois module structure of quartic Galois extensions of Q

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

Induced Hopf Galois Structures and their Local Hopf Galois Modules

The Hopf Galois property in subfield lattices

Octahedral Galois representations arising from Q-curves of degree 2

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

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