Commutative Hopf-Galois module structure of tame extensions

DOI10.1016/j.jalgebra.2018.01.047zbMath1475.11207arXiv1708.06267OpenAlexW2963860339MaRDI QIDQ1643107

Paul J. Truman

Publication date: 18 June 2018

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

Full work available at URL: https://arxiv.org/abs/1708.06267

zbMATH Keywords

Galois module structureHopf-Galois module theoryHopf-Galois structureassociated order

Mathematics Subject Classification ID

Integral representations (11S23) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Related Items

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

Cites Work

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• Induced Hopf Galois structures
• Integral Hopf-Galois structures for tame extensions
• Towards a generalisation of Noether's theorem to nonclassical Hopf-Galois structures
• Galois structure of ideals in wildly ramified abelian \(p\)-extensions of a \(p\)-adic field, and some applications
• Hopf Galois theory for separable field extensions
• Relative Galois module structure of integers of abelian fields
• Canonical Nonclassical Hopf–Galois Module Structure of Nonabelian Galois Extensions
• Normal Bases in Galois Extensions of Number Fields
• INVARIANTS FOR MODULES OVER COMMUTATIVE SEPARABLE ORDERS

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