Ideals of an Abelian p-extension of a local field as Galois modules

DOI10.1007/BF01087092zbMath0403.12017OpenAlexW2072628038MaRDI QIDQ1256004

Sergei Vostokov

Publication date: 1979

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01087092

zbMATH Keywords

LatticesRamificationAbelian P-ExtensionGalois-ModuleLocal Field

Mathematics Subject Classification ID

Galois theory (11S20) Ramification and extension theory (11S15) Algebras and orders, and their zeta functions (11S45)

Related Items (3)

Algebraic number fields ⋮ Galois structure of ideals in wildly ramified abelian \(p\)-extensions of a \(p\)-adic field, and some applications ⋮ Explicit constructions and the arithmetic of local number fields

Cites Work

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