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

Jan Minac·Andrew Schultz·John Swallow
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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.

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Jan Minac, Andrew Schultz, John Swallow. 2005-04-12. Galois module structure of pth-power classes of cyclic extensions of degree p^n. https://arxiv.org/abs/math/0409532

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