Local Leopoldt's problem for rings of integers in Abelian \(p\)-extensions of complete discrete valuation fields

zbMath0964.11053MaRDI QIDQ1591984

Mikhail Vladimirovich Bondarko

Publication date: 8 February 2001

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/121052

zbMATH Keywords

Hopf algebrasformal groupsGalois modulesassociated orderslocal Galois module theory

Mathematics Subject Classification ID

Galois theory (11S20) Ramification and extension theory (11S15) Class field theory; (p)-adic formal groups (11S31)

Related Items (11)

Monogenic Hopf orders and associated orders of valuation rings. ⋮ Scaffolds and generalized integral Galois module structure ⋮ 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. ⋮ Monogenic Hopf algebras over discrete valuation rings with low ramification. ⋮ Classification of finite commutative group schemes over complete discrete valuation rings; the tangent space and semistable reduction of Abelian varieties ⋮ Leopoldt's problem for Abelian totally ramified extensions of complete discrete valuation fields ⋮ Nonabelian associated orders of wildly ramified extensions ⋮ Galois scaffolds for cyclic \(p^n\)-extensions in characteristic \(p\) ⋮ Galois scaffolds and semistable extensions

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