Abstract
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.
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