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REGULAR LIFTING OF COVERS OVER AMPLE FIELDS

REGULAR LIFTING OF COVERS OVER AMPLE FIELDS

Let K be an ample field, G a finite group, and L a finite Galois extension of K such that Gal(L/K) is isomorphic to a subgroup of G. We prove that K(x) has a Galois extension F which is regular over L such that Gal(F/K(x))≌G and F has a K-place …