Induced Hopf Galois structures

DOI10.1016/j.jalgebra.2016.03.012zbMath1408.16024arXiv1505.07587OpenAlexW2262154813MaRDI QIDQ279737

Anna Rio, Teresa Crespo, Montserrat Vela

Publication date: 29 April 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.07587

zbMATH Keywords

Galois theoryHopf algebraseparable field extensionsHopf Galois structures

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Hopf algebras and their applications (16T05)

Related Items (11)

Skew left braces and isomorphism problems for Hopf–Galois structures on Galois extensions ⋮ Commutative Hopf-Galois module structure of tame extensions ⋮ Counting Hopf-Galois structures on cyclic field extensions of squarefree degree ⋮ Hopf-Galois structures on extensions of degree \(p^2q\) and skew braces of order \(p^2q\): the cyclic Sylow \(p\)-subgroup case ⋮ Inducing braces and Hopf Galois structures ⋮ Hopf-Galois structures on non-normal extensions of degree related to Sophie Germain primes ⋮ Normality and short exact sequences of Hopf-Galois structures ⋮ Induced Hopf Galois structures and their local Hopf Galois modules ⋮ Abelian maps, bi-skew braces, and opposite pairs of Hopf-Galois structures ⋮ Left braces of size \(8p\) ⋮ The ring of integers of Hopf-Galois degree \(p\) extensions of \(p\)-adic fields with dihedral normal closure

Cites Work

• Unnamed Item
• Fixed-point free pairs of homomorphisms and nonabelian Hopf-Galois structures
• Solubility criteria for Hopf-Galois structures
• Double covers of \(S_5\) and Frobenius groups as Galois groups over number fields
• Counting Hopf Galois structures on non-abelian Galois field extensions
• On Hopf Galois structures and complete groups
• Hopf-Galois structures on Galois field extensions of degree \(pq\).
• Hopf Galois theory for separable field extensions
• Groups of order \(4p\), twisted wreath products and Hopf-Galois theory.
• Regular permutation groups of order \(mp\) and Hopf Galois structures
• Hopf algebras and Galois theory
• The Hopf Galois Property in Subfield Lattices
• From Galois to Hopf Galois: theory and practice
• On the hopf galois theory for separable field extensions
• Uniqueness of hopf galois structure for separable field extensions
• HOPF–GALOIS STRUCTURES ON FIELD EXTENSIONS WITH SIMPLE GALOIS GROUPS
• On the Galois correspondence theorem in separable Hopf Galois theory

This page was built for publication: Induced Hopf Galois structures