Israel Journal of Mathematics

, Volume 127, Issue 1, pp 93–129 | Cite as

Relatively projective groups as absolute Galois groups

  • Jochen Koenigsmann


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.


Galois Group Free Product Projective Group Inverse Limit Galois Extension 
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Copyright information

© The Hebrew University Magnes Press 2002

Authors and Affiliations

  • Jochen Koenigsmann
    • 1
  1. 1.Fakultät für Mathematik und InformatikUniversität KonstanzKonstanzGermany

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