Galois module structure of pth-power classes of cyclic extensions of degree p^n
Number Theory
2007-05-23 v2
Abstract
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.
Cite
@article{arxiv.math/0409532,
title = {Galois module structure of pth-power classes of cyclic extensions of degree p^n},
author = {Jan Minac and Andrew Schultz and John Swallow},
journal= {arXiv preprint arXiv:math/0409532},
year = {2007}
}
Comments
v2 (45 pages): Corrected minor errors and added Corollary 3. To appear in Proc. London Math. Soc