Relatively projective groups as absolute Galois groups

Details Relatively projective groups as absolute Galois groups Relatively projective groups as absolute Galois groups

2000-07-20

arxiv.org/abs/math/0007211v1

Mathematics

Number Theory

Scientific paper

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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