Links between associated additive Galois modules and computation of \(H^{1}\) for local formal group modules.

DOI10.1016/S0022-314X(03)00019-2zbMath1037.11079MaRDI QIDQ1399672

Mikhail Vladimirovich Bondarko

Publication date: 30 July 2003

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

formal groupWeil-Chatelet groupdeeply ramified extensionKummer theory for formal groups

Mathematics Subject Classification ID

Ramification and extension theory (11S15) Formal groups, (p)-divisible groups (14L05) Class field theory; (p)-adic formal groups (11S31)

Related Items

New ramification breaks and additive Galois structure ⋮ Nonabelian associated orders of wildly ramified extensions

Cites Work

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• Galois structure of ideals in wildly ramified abelian \(p\)-extensions of a \(p\)-adic field, and some applications
• Local Leopoldt's problem for rings of integers in Abelian \(p\)-extensions of complete discrete valuation fields
• Monogenic Hopf orders and associated orders of valuation rings.
• Kummer theory for abelian varieties over local fields
• Formal groups and the Galois module structure of local rings of integers.
• On Deeply Ramified Extensions
• Cohomology of formal group moduli and deeply ramified extensions
• Leopoldt's problem for Abelian totally ramified extensions of complete discrete valuation fields