Monogenic bialgebras over finite fields and rings of Witt vectors

DOI10.1016/S0022-4049(00)00163-8zbMath0988.16026OpenAlexW2046275129MaRDI QIDQ5946832

Alan Koch

Publication date: 7 April 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(00)00163-8

zbMATH Keywords

Hopf algebraslocal ringsWitt vectorscocommutative bialgebrasDieudonné modulesHonda systemsnumbers of lifts

Mathematics Subject Classification ID

Group schemes (14L15)

Related Items (7)

Breuil–Kisin Modules and Hopf Orders in Cyclic Group Rings ⋮ Monogenic Hopf algebras and local Galois module theory ⋮ Bi-genic Hopf algebras in characteristic \(p\) ⋮ Monogenic Hopf algebras over discrete valuation rings with low ramification. ⋮ Witt vectors. Part 1 ⋮ Witt subgroups and cyclic Dieudonné modules killed by \(p\). ⋮ Endomorphisms of Monogenic Hopf Algebras

Cites Work

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• Lifting Witt subgroups to characteristic zero
• Congruence-torsion subgroups of dimension one formal groups
• Witt subgroups and cyclic Dieudonné modules killed by \(p\).
• Deformations and liftings of finite, commutative group schemes
• Group schemes of prime order

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