Relatively projective groups as absolute Galois groups
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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.
KeywordsGalois Group Free Product Projective Group Inverse Limit Galois Extension
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