Automatic realization of Hopf Galois structures

DOI10.1142/S021949882250030XzbMath1494.12002arXiv2006.07303OpenAlexW3090601472MaRDI QIDQ5073313

Teresa Crespo

Publication date: 6 May 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.07303

zbMATH Keywords

separable field extensionsHopf Galois structuresregular groupsholomorphs

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Separable extensions, Galois theory (12F10) Automorphisms of abstract finite groups (20D45) General theory for finite permutation groups (20B05) Hopf algebras and their applications (16T05)

Cites Work

• Unnamed Item
• Unnamed Item
• Braces, radical rings, and the quatum Yang-Baxter equation.
• Hopf Galois structures on separable field extensions of odd prime power degree
• Hopf Galois theory for separable field extensions
• Hopf-Galois structures on extensions of degree \(p^2q\) and skew braces of order \(p^2q\): the cyclic Sylow \(p\)-subgroup case
• On skew braces (with an appendix by N. Byott and L. Vendramin)
• Hopf algebras and Galois theory
• Abelian Hopf Galois structures on prime-power Galois field extensions
• Skew braces and the Yang–Baxter equation
• On the hopf galois theory for separable field extensions
• Uniqueness of hopf galois structure for separable field extensions
• A Contribution to the Theory of Groups of Prime-Power Order
• Endliche Gruppen I
• Counterexample to a conjecture about braces.