Random Galois extensions of Hilbertian fields

2012/06/06 by Bary-Soroker, Lior, Fehm, Arno
#12E25 #12E30 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1206.1127

Abstract

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.

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