no. 1
Random Galois extensions of Hilbertian fields
Bary-Soroker, Lior1 ; Fehm, Arno2
1 School of Mathematical Sciences Tel Aviv University Ramat Aviv Tel Aviv 69978 Israel
2 Universität Konstanz Fachbereich Mathematik und Statistik Fach D 203 78457 Konstanz Germany
Journal de théorie des nombres de Bordeaux, Tome 25 (2013) no. 1, pp. 31-42.

Soit L une extension galoisienne d’un corps K hilbertien et dénombrable. Bien que L ne soit pas nécessairement hilbertien, nous montrons qu’il existe beaucoup de grandes sous-extensions de L/K qui le sont.

Let L be a Galois extension of a countable Hilbertian field K. Although L need not be Hilbertian, we prove that an abundance of large Galois subextensions of L/K are.

DOI : 10.5802/jtnb.823
Bary-Soroker, Lior 1 ; Fehm, Arno 2

1 School of Mathematical Sciences Tel Aviv University Ramat Aviv Tel Aviv 69978 Israel
2 Universität Konstanz Fachbereich Mathematik und Statistik Fach D 203 78457 Konstanz Germany 
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Bary-Soroker, Lior; Fehm, Arno. Random Galois extensions of Hilbertian fields. Journal de théorie des nombres de Bordeaux, Tome 25 (2013) no. 1, pp. 31-42. doi : 10.5802/jtnb.823. http://archive.numdam.org/articles/10.5802/jtnb.823/

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