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Random Galois extensions of Hilbertian fields. (English. French summary) Zbl 1387.12002
Summary: 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.

##### MSC:
 12E25 Hilbertian fields; Hilbert’s irreducibility theorem 12F10 Separable extensions, Galois theory
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##### References:
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