Relatively projective groups as absolute Galois groups

2000/07/20 by Jochen Koenigsmann, Koenigsmann, Jochen · 1 citation
Mathematics · #Advanced Topology and Set Theory #Algebraic Geometry and Number Theory #Homotopy and Cohomology in Algebraic Topology #math.NT

paper · pdf · doi:10.48550/arxiv.math/0007211

arxiv created 2000/07/20 · arxiv updated 2009/12/01

Abstract

By two well-known results, one of Ax, one of Lubotzky and van den Dries, a profinite group is projective iff it is isomorphic to the absolute Galois group of a pseudo-algebraically closed field. This paper gives an analogous characterization of relatively projective profinite groups as absolute Galois groups of regularly closed fields.

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