Towards a generalisation of Noether's theorem to nonclassical Hopf-Galois structures

zbMath1250.11098arXiv1001.1639MaRDI QIDQ416769

Paul J. Truman

Publication date: 10 May 2012

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.1639

zbMATH Keywords

descentNoether's theoremHopf ordersassociated ordersintegral normal basis

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Related Items (6)

Hopf-Galois module structure of tame \(C_p \times C_p\) extensions ⋮ Commutative Hopf-Galois module structure of tame extensions ⋮ Commuting Hopf–Galois structures on a separable extension ⋮ Hopf-Galois module structure of tame biquadratic extensions ⋮ 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

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