Monogenic Hopf orders and associated orders of valuation rings.

DOI10.1016/j.jalgebra.2003.07.003zbMath1128.16303OpenAlexW2025896328WikidataQ57936305 ScholiaQ57936305MaRDI QIDQ1883029

Nigel P. Byott

Publication date: 1 October 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.07.003

zbMATH Keywords

finite groupslocal fieldsformal groupsGalois module structurefield extensionsHopf orderscocommutative Hopf algebrasGalois theory over Hopf algebras

Mathematics Subject Classification ID

Formal groups, (p)-divisible groups (14L05) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items (10)

Sufficient conditions for large Galois scaffolds ⋮ Monogenic Hopf algebras and local Galois module theory ⋮ Links between associated additive Galois modules and computation of \(H^{1}\) for local formal group modules. ⋮ Non-existence of integral Hopf orders for twists of several simple groups of Lie type ⋮ Realizable Hopf orders in \(KC_{p^3}\). ⋮ Duality for Hopf orders ⋮ Nonabelian associated orders of wildly ramified extensions ⋮ Abelian maps, bi-skew braces, and opposite pairs of Hopf-Galois structures ⋮ Endomorphisms of Monogenic Hopf Algebras ⋮ Primitively generated Hopf orders in characteristicp

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