Index-modules and applications
Number Theory
2012-06-05 v1
Abstract
We define the notion of index-module for a couple of A-lattices in a vector space, A being a Dedekind ring. We apply this notion to prove by elementary means that a weak Gras conjecture (i.e for irreducible nontrivial Q-characters) holds for a suitable group of Stark units in global function fields.
Cite
@article{arxiv.1103.0902,
title = {Index-modules and applications},
author = {Stéphane Viguié},
journal= {arXiv preprint arXiv:1103.0902},
year = {2012}
}
Comments
15 pages, to appear in manuscripta mathematica