Hopf-Galois module structure of tamely ramified radical extensions of prime degree

DOI10.1016/j.jpaa.2019.106231zbMath1445.11130arXiv1812.09394OpenAlexW2972430972MaRDI QIDQ2301888

Paul J. Truman

Publication date: 25 February 2020

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.09394

zbMATH Keywords

Galois module structureHopf-Galois module theoryHopf-Galois structureassociated order

Mathematics Subject Classification ID

Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Smash products of general Hopf actions (16S40)

Cites Work

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• Integral Hopf-Galois structures for tame extensions
• Towards a generalisation of Noether's theorem to nonclassical Hopf-Galois structures
• Computing generators of free modules over orders in group algebras.
• Classification of the Hopf Galois structures on prime power radical extensions
• Normal integral bases in Kummer extensions of prime degree
• Galois structure of ideals in wildly ramified abelian \(p\)-extensions of a \(p\)-adic field, and some applications
• On the ring of integers of a tame Kummer extension over a number field.
• Commutative Hopf-Galois module structure of tame extensions
• Hopf Galois theory for separable field extensions
• Note on Galois descent of a normal integral basis of acyclic extension of degree \(p\)
• Scaffolds and integral Hopf Galois module structure on purely inseparable extensions.
• Normal integral bases for cyclic Kummer extensions
• On the hopf galois theory for separable field extensions
• Uniqueness of hopf galois structure for separable field extensions
• Ramified extensions of degree p and their Hopf–Galois module structure

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