Die Struktur der absoluten Galoisgruppe \({\mathfrak p}\)-adischer Zahlkörper

DOI10.1007/BF01393199zbMath0534.12010WikidataQ56047968 ScholiaQ56047968MaRDI QIDQ790179

Kay Wingberg, Uwe Jannsen

Publication date: 1982

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142970

zbMATH Keywords

pro-finite grouprepresentation by generators and relationsstructure of absolute Galois group of local fieldtame relation

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Galois theory (11S20) Galois cohomology (11S25) Ramification and extension theory (11S15) Limits, profinite groups (20E18) Class field theory; (p)-adic formal groups (11S31)

Related Items (16)

Groups of automorphisms of local fields of period p and nilpotent class < p, I ⋮ The Hilbert symbol for tamely ramified abelian extensions of 2-adic number fields ⋮ Representations related to CM elliptic curves ⋮ An Introduction to p-Adic Hodge Theory ⋮ A Galois-theoretic characterization of \(p\)-adically closed fields ⋮ On P-Extensions of Multidimensional Local Fields ⋮ The Galois‐equivariant Structure of the Norm Residue Symbol in Tamely Ramified‐extensions of 2‐adic Number Fields ⋮ The absolute Galois group of a \(p\)-adic field ⋮ Continuous group actions on profinite spaces ⋮ ON A LOCAL ANALOGUE OF THE GROTHENDIECK CONJECTURE ⋮ Triple Massey products and Galois theory ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Über Galoisgruppen lokaler Körper ⋮ Der Eindeutigkeitssatz für Demuškinformationen ⋮ Every 7‐Dimensional abelian variety over Qp has a reducible ℓ‐adic Galois representation

Cites Work

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• STRUCTURE OF THE MULTIPLICATIVE GROUP OF A SIMPLY RAMIFIED EXTENSION OF A LOCAL FIELD OF ODD DEGREE
• Über Darstellungsräume und die Struktur der multiplikativen Gruppe eines p‐adischen Zahlkörpers
• Über Galoissche Gruppen von p‐adischen Zahlkörpern
• THE GALOIS GROUP OF THE ALGEBRAIC CLOSURE OF A LOCAL FIELD

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