From p-rigid elements to valuations (with a Galois-characterization of p-adic fields).

DOI10.1515/crll.1995.465.165zbMath0824.12006OpenAlexW4251119401MaRDI QIDQ4842661

Jochen Koenigsmann

Publication date: 12 November 1995

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002212900

zbMATH Keywords

Galois cohomologyabsolute Galois groupelementary equivalence\(p\)-henselian valuations

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Galois cohomology (12G05) Valued fields (12J10) Formally (p)-adic fields (12J12)

Related Items (17)

Detecting fast solvability of equations via small powerful Galois groups ⋮ Compatible valuations and generalized Milnor 𝐾-theory ⋮ \(p\)-Henselian fields ⋮ A Galois-theoretic characterization of \(p\)-adically closed fields ⋮ Commuting-liftable subgroups of Galois groups. II ⋮ Numbers and models, standard and nonstandard ⋮ Birational \(p\)-adic Galois sections in higher dimensions ⋮ Two-step nilpotent extensions are not anabelian ⋮ Quadratic forms in models of \(I\Delta_0 + \Omega_1\). II: Local equivalence ⋮ THE ELEMENTARY THEORY OF LARGE FIELDS OF TOTALLY -ADIC NUMBERS ⋮ Totally real rigid elements and F_π-henselian valuation rings ⋮ Abelian subgroups of pro-$p$ Galois groups ⋮ On graphs and valuations. ⋮ Definable valuations induced by multiplicative subgroups and NIP fields ⋮ Defining \(\mathbb Z\) in \(\mathbb Q\) ⋮ The metabelian birational -adic section conjecture for varieties ⋮ Descent Obstruction and Fundamental Exact Sequence

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