The Hilbert symbol for tamely ramified abelian extensions of 2-adic number fields

DOI10.1007/BF01165892zbMath0608.12019OpenAlexW2007906552MaRDI QIDQ1086292

Lloyd D. Simons

Publication date: 1987

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

Full work available at URL: https://eudml.org/doc/155225

zbMATH Keywords

local fieldsHilbert symbolnorm residue symboltamely ramified extension2-adic number field

Mathematics Subject Classification ID

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

Related Items (1)

The Galois‐equivariant Structure of the Norm Residue Symbol in Tamely Ramified‐extensions of 2‐adic Number Fields

Cites Work

• Über Galoisgruppen lokaler Körper
• Die Struktur der absoluten Galoisgruppe \({\mathfrak p}\)-adischer Zahlkörper
• Forms over rings with involution
• Über die absolute Galoisgruppe dyadischer Zahlkörper.
• On Galois Groups of Local Fields
• Norms of Units in Group Rings
• Über Darstellungsräume und die Struktur der multiplikativen Gruppe eines p‐adischen Zahlkörpers
• THE GALOIS GROUP OF THE ALGEBRAIC CLOSURE OF A LOCAL FIELD
• Über das Normenrestsymbol einer lokalen unverzweigten Erweiterung von 2‐Potenzgrad
• ON THE ALGEBRAIC CLOSURE OF A LOCAL FIELD FORp= 2

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