2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/97224In the mid-1960s Borevic and Faddeev initiated the study of the Galois module structure of groups of pth-power classes of cyclic extensions K/F of pth-power degree. They determined the structure of these modules in the case when F is a local field. In this paper we determine these Galois modules for all base fields F.v2 (45 pages): Corrected minor errors and added Corollary 3. To appear in Proc. London Math. SocNumber Theory12F10 (Primary) 16D70 (Secondary)text