Induced Hopf Galois structures and their local Hopf Galois modules

DOI10.5565/PUBLMAT6612204zbMath1492.11151arXiv1910.06083MaRDI QIDQ2075302

Daniel Gil-Muñoz, Anna Rio

Publication date: 14 February 2022

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.06083

zbMATH Keywords

Hopf Galois structureassociated orderHopf Galois module theory

Mathematics Subject Classification ID

Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Hopf algebras and their applications (16T05)

Related Items (2)

Hopf-Galois module structure of quartic Galois extensions of \(\mathbb{Q}\) ⋮ The ring of integers of Hopf-Galois degree \(p\) extensions of \(p\)-adic fields with dihedral normal closure

Cites Work

• Induced Hopf Galois structures
• Nilpotent and abelian Hopf-Galois structures on field extensions
• Hopf Galois theory for separable field extensions
• Relative Galois module structure of integers of abelian fields
• Hopf algebras and Galois theory
• Normality and short exact sequences of Hopf-Galois structures
• On the Galois correspondence theorem in separable Hopf Galois theory
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