The absolute Galois group of a pseudo p-adically closed field.

DOI10.1515/crll.1988.383.147zbMath0652.12010OpenAlexW4243355585MaRDI QIDQ3797287

Moshe Jarden, Dan Haran

Publication date: 1988

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

Full work available at URL: https://eudml.org/doc/152995

zbMATH Keywords

embedding problemabsolute Galois groupinverse problem of Galois theorypseudo p-adically closed field

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Galois theory (11S20) Inverse Galois theory (12F12) Limits, profinite groups (20E18)

Related Items (24)

Pseudo algebraically closed fields over rings ⋮ On prosolvable subgroups of profinite free products and some applications ⋮ Pseudo real closed fields, pseudo \(p\)-adically closed fields and \(\mathrm{NTP}_{2}\) ⋮ A Galois-theoretic characterization of \(p\)-adically closed fields ⋮ Prosolvable subgroups of free products of profinite groups ⋮ On the cohomological characterization of real free pro-\(2\)-groups ⋮ Fields with continuous local elementary properties. II ⋮ Elementary geometric local-global principles for fields ⋮ A TOPOLOGICAL APPROACH TO UNDEFINABILITY IN ALGEBRAIC EXTENSIONS OF ⋮ Closed subgroups of G(Q) with involutions ⋮ Imaginaries, invariant types and pseudo \(p\)-adically closed fields ⋮ The Henselian closures of a P\(p\)C field ⋮ On the model companion for \(e\)-fold \(p\)-adically valued fields ⋮ Unnamed Item ⋮ Undecidability of pseudo \(p\)-adically closed fields ⋮ Decidable theories of pseudo-\(p\)-adic closed fields ⋮ The Absolute Galois Group of the Field of Totally S-Adic Numbers ⋮ Counting the closed subgroups of profinite groups ⋮ Groups and fields with $\operatorname {NTP}_{2}$ ⋮ Free pseudo \(p\)-adically closed fields of finite corank ⋮ Cohomology theory of Artin-Schreier structures ⋮ Relative regular closedness and \(\pi\)-valuations ⋮ On the irreducibility of sums of rational functions with separated variables ⋮ Relatively projective groups as absolute Galois groups

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