Monogenic Hopf algebras and local Galois module theory

DOI10.1016/S0021-8693(03)00176-5zbMath1028.16018MaRDI QIDQ1399176

Alan Koch

Publication date: 30 July 2003

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

zbMATH Keywords

Hopf algebrasformal groupsKummer theoryDieudonné modulesisogeniesfield extensionssmooth resolutions

Mathematics Subject Classification ID

Related Items (5)

Breuil–Kisin Modules and Hopf Orders in Cyclic Group Rings ⋮ Bi-genic Hopf algebras in characteristic \(p\) ⋮ Monogenic Hopf algebras over discrete valuation rings with low ramification. ⋮ Witt vectors. Part 1 ⋮ Endomorphisms of Monogenic Hopf Algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Local Leopoldt's problem for rings of integers in Abelian \(p\)-extensions of complete discrete valuation fields
• Witt subgroups and cyclic Dieudonné modules killed by \(p\).
• Hopf Galois theory for separable field extensions
• \(p\)-divisible groups, finite groups and filtered modules
• Monogenic Hopf orders and associated orders of valuation rings.
• Formal groups
• Local Euler characteristics
• Hopf algebras and Galois theory
• Über die Hauptordnung der ganzen Elemente eines abelschen Zahlkörpers.
• Taming Wild Extensions with Hopf Algebras
• Infinitesimal Group Scheme Actions on Finite Field Extensions
• Relative Galois module structure of integers of local abelian fields
• Monogenic bialgebras over finite fields and rings of Witt vectors

This page was built for publication: Monogenic Hopf algebras and local Galois module theory