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

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

2004-09-27

arxiv.org/abs/math/0409532v2

Proc. London Math. Soc. 92 (2006), no. 2, 307--341

Mathematics

Number Theory

v2 (45 pages): Corrected minor errors and added Corollary 3. To appear in Proc. London Math. Soc

Scientific paper

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.

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