Galois module structure of local unit groups
Number Theory
2014-02-18 v2
Abstract
We study the groups in the unit filtration of a finite abelian extension K of the field of p-adic numbers. We determine explicit generators of these groups as modules over the pro-p group ring of the Galois group of K over the p-adic numbers. We work in eigenspaces for powers of the Teichmueller character, first at the level of the field of norms for the extension of K by p-power roots of unity and then at the level of K.
Cite
@article{arxiv.1108.3328,
title = {Galois module structure of local unit groups},
author = {Romyar T. Sharifi},
journal= {arXiv preprint arXiv:1108.3328},
year = {2014}
}
Comments
37 pages; to appear in Algebra & Number Theory