On the characterization of local fields by their absolute Galois groups

DOI10.1016/0022-314X(79)90014-3zbMath0403.12020OpenAlexW2085511104MaRDI QIDQ1256005

Moshe Jarden, Juergen Ritter

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0022-314x(79)90014-3

zbMATH Keywords

Isomorphic Absolute Galois GroupsLocal FieldP-Adic Fields Having The Same Type of Algebraic Extensions

Mathematics Subject Classification ID

Galois theory (11S20) Ramification and extension theory (11S15)

Related Items (6)

Algebraic number fields ⋮ Hecke algebras for \(\mathrm{GL}_n\) over local fields ⋮ Two-step nilpotent extensions are not anabelian ⋮ THE ELEMENTARY THEORY OF LARGE FIELDS OF TOTALLY -ADIC NUMBERS ⋮ The geometry of anabelioids ⋮ \(\mathfrak p\)-adic fields having the same type of algebraic extensions

Cites Work

• On the group automorphisms of the absolute Galois group of the rational number field
• Isomorphisms of Galois groups
• Isomorphisms of Galois groups of algebraic function fields
• Kennzeichnung der p-adischen und der endlichen algebraischen Zahlkörper
• On Galois Groups of Local Fields
• A counterexample for the local analogy of a theorem by lwasawa and Uchida
• Completeness of the absolute Galois group of the rational number field
• THE GALOIS GROUP OF THE ALGEBRAIC CLOSURE OF A LOCAL FIELD
• ON THE ALGEBRAIC CLOSURE OF A LOCAL FIELD FORp= 2
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