Intersections of Local Algebraic Extensions of a Hilbertian Field

  • Moshe Jarden
Part of the NATO ASI Series book series (ASIC, volume 333)


The main object of this work is to present a unified generalization of the “free generators theorem” of the author and Geyer’s theorem about the absolute Galois group of the intersection of Henselizations of a countable Hilbertian field K with respect to finitely many absolute values. We equip the absolute Galois group G(K) of K with its Haar measure and use the term “almost all” in the usual sense of measure theory.


Prime Ideal Valuation Ring Galois Extension Monic Polynomial Algebraic Extension 
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Copyright information

© Springer Science+Business Media Dordrecht 1991

Authors and Affiliations

  • Moshe Jarden
    • 1
  1. 1.School of Mathematical Sciences, Raymond and Beverly Sackler, Faculty of Exact SciencesTel Aviv UniversityRamat Aviv, Tel AvivIsrael

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