Galois module structure of pth-power classes of cyclic extensions of degree p^n

Minac, Jan; Schultz, Andrew; Swallow, John

Galois module structure of pth-power classes of cyclic extensions of degree p^n

Authors

Minac, Jan

Schultz, Andrew

Swallow, John

Description

In 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. Soc