Some remarks on Hilbertian fields (An appendix to the paper “Galois averages” by R. Massy)

The paper gives proofs of some results just claimed in [R. Massy, Galois averages, J. Number Theory 113 (2005) 244–275]. For instance, it is proved that for a finite non-trivial separable extension M/F, M≠F, of Hilbertian fields finitely generated over their prime field, the quotient group M×/F×, for the corresponding multiplicative groups of non-zero elements, cannot be a torsion group of finite exponent.