On an elementary Abelian \(p\)-extension of a multidimensional local field

zbMATH Open0736.11069MaRDI QIDQ1814507

Sergei Vostokov

Publication date: 25 June 1992

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Kummer extensionsArtin symbolformal Lubin-Tate groups\(n\)-dimensional local fieldmaximal elementary abelian \(p\)-extensionMilnor groups

Mathematics Subject Classification ID

Ramification and extension theory (11S15) Formal groups, (p)-divisible groups (14L05) Higher symbols, Milnor (K)-theory (19D45) Class field theory; (p)-adic formal groups (11S31) (K)-theory of local fields (11S70) Generalized class field theory ((K)-theoretic aspects) (19F05)

Related Items (3)

Some elementary remarks about \(n\)-local fields ⋮ Tower of the maximal abelian extensions of local fields and its application ⋮ A note on \(L\)-packets and abelian varieties over local fields

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