Zobrazeno 1 - 10
of 52
pro vyhledávání: '"Rio, Anna"'
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 given skew left braces. We consider an odd prime $p$ and an integer $n$
Externí odkaz:
http://arxiv.org/abs/2302.13098
Publikováno v:
J. Pure Appl. Algebra 227 (2023), no. 9, Paper No. 107371, 16 pp
Let $p$ be a prime number and let $n$ be an integer not divisible by $p$ and such that every group of order $np$ has a normal subgroup of order $p$. (This holds in particular for $p>n$.) We prove that left braces of size $np$ may be obtained as a sem
Externí odkaz:
http://arxiv.org/abs/2206.03810
Publikováno v:
J. Algebra 617 (2023), 317-339
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 isomorphism classes of a semidirect product of left braces and then the des
Externí odkaz:
http://arxiv.org/abs/2205.04201
Autor:
Gil-Muñoz, Daniel, Rio, Anna
Given a quartic Galois extension $L/\mathbb{Q}$ of number fields and a Hopf-Galois structure $H$ on $L/\mathbb{Q}$, we study the freeness of the ring of integers $\mathcal{O}_L$ as module over the associated order $\mathfrak{A}_H$ in $H$. For the cla
Externí odkaz:
http://arxiv.org/abs/2107.13515
Autor:
Gil-Muñoz, Daniel, Rio, Anna
Let $p$ be an odd prime. For field extensions $L/\mathbb{Q}_p$ with Galois group isomorphic to the dihedral group $D_{2p}$ of order $2p$, we consider the problem of computing a basis of the associated order in each Hopf Galois structure and the modul
Externí odkaz:
http://arxiv.org/abs/2011.05024
Autor:
Gil-Muñoz, Daniel, Rio, Anna
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 subextensions. We describe here the associated Hopf algebra and Hopf
Externí odkaz:
http://arxiv.org/abs/1910.06083
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 structures occur on Galois extensions with Galois group isomorphic to altern
Externí odkaz:
http://arxiv.org/abs/1703.02600
Publikováno v:
J. Algebra 457 (2016), 312-322
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 which are induced by a pair of Hopf Galois structures on K/F and F/k.
Externí odkaz:
http://arxiv.org/abs/1505.07587
Akademický článek
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Publikováno v:
J. Algebra , 422 (2015), 270-276
We give a degree 8 separable extension having two non-isomorphic Hopf-Galois structures with isomorphic underlying Hopf algebras.
Externí odkaz:
http://arxiv.org/abs/1406.5054