Integral Hopf-Galois structures on degree \(p^2\) extensions of \(p\)-adic fields

DOI10.1006/jabr.2001.9053zbMath0992.11065OpenAlexW1968629545WikidataQ57918070 ScholiaQ57918070MaRDI QIDQ1604393

Nigel P. Byott

Publication date: 4 July 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.9053

zbMATH Keywords

Kummer theoryHopf Galois structuresLubin-Tate formal groupHopf order

Mathematics Subject Classification ID

Related Items (12)

Hopf-Galois module structure of quartic Galois extensions of \(\mathbb{Q}\) ⋮ Monogenic Hopf orders and associated orders of valuation rings. ⋮ Hopf-Galois module structure of tame \(C_p \times C_p\) extensions ⋮ On the connection between Hopf–Galois structures and skew braces ⋮ Hopf-Galois module structure of tame biquadratic extensions ⋮ A valuation criterion for normal basis generators of Hopf-Galois extensions in characteristic \(p\) ⋮ Isomorphism problems for Hopf-Galois structures on separable field extensions ⋮ Skew braces and Hopf-Galois structures of Heisenberg type ⋮ Duality for Hopf orders ⋮ Fixed-point free endomorphisms and Hopf Galois structures ⋮ Elementary Abelian Hopf Galois structures and polynomial formal groups. ⋮ Dual Hopf orders in group rings of elementary Abelian \(p\)-groups.

Cites Work

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• Wildly Ramified Gamma Extensions
• Group schemes of prime order

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