Monogenic Hopf algebras over discrete valuation rings with low ramification.

DOI10.1016/J.JALGEBRA.2004.12.019zbMath1096.16016OpenAlexW2066500818MaRDI QIDQ1775538

Alan Koch

Publication date: 4 May 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.12.019

zbMATH Keywords

formal groupsliftingsDieudonné modulesHonda systemsramified extensionsgroups of Galois objectsmonogenic Hopf algebras

Mathematics Subject Classification ID

Formal groups, (p)-divisible groups (14L05) Group schemes (14L15)

Related Items (2)

Breuil–Kisin Modules and Hopf Orders in Cyclic Group Rings ⋮ Endomorphisms of Monogenic Hopf Algebras

Cites Work

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• Witt subgroups and cyclic Dieudonné modules killed by \(p\).
• \(p\)-divisible groups, finite groups and filtered modules
• Formal groups
• Deformations and liftings of finite, commutative group schemes
• Local Euler characteristics
• The crystals associated to Barsotti-Tate groups: with applications to Abelian schemes
• THE THEORY OF COMMUTATIVE FORMAL GROUPS OVER FIELDS OF FINITE CHARACTERISTIC
• Group schemes of prime order
• Monogenic bialgebras over finite fields and rings of Witt vectors

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