6 citations · 16 across the 11 of their papers we have counts for
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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…
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…
Hopf Galois structures on symmetric and alternating extensions
Teresa Crespo, Anna Rio, Montserrat Vela
By using our previous results on induced Hopf Galois structures and a recent result by Koch, Kohl, Truman and Underwood on normality, we determine which types of Hopf Galois struct…
Induced Hopf Galois structures
Teresa Crespo, Anna Rio, Montserrat Vela
For a finite Galois extension K/k and an intermediate field F such that Gal(K/F) has a normal complement in Gal(K/k), we construct and characterize Hopf Galois structures on K/k wh…
Non-isomorphic Hopf-Galois structures with isomorphic underlying Hopf algebras
Teresa Crespo, Anna Rio, Montserrat Vela
We give a degree 8 separable extension having two non-isomorphic Hopf-Galois structures with isomorphic underlying Hopf algebras.
On the Galois correspondence theorem in separable Hopf Galois theory
Teresa Crespo, Anna Rio, Montserrat Vela
In this paper we present a reformulation of the Galois correspondence theorem of Hopf Galois theory in terms of groups carrying farther the description of Greither and Pareigis. We…
From Galois to Hopf Galois: theory and practice
Teresa Crespo, Anna Rio, Montserrat Vela
Hopf Galois theory expands the classical Galois theory by considering the Galois property in terms of the action of the group algebra k[G] on K/k and then replacing it by the actio…