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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.

12E25 Hilbertian fields; Hilbert’s irreducibility theorem
12F10 Separable extensions, Galois theory
Full Text: DOI Link arXiv
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