%0 Journal Article
%T On Neron-Raynaud class groups of tori and the Capitulation Problem
%A Cristian D. Gonzalez-Aviles
%J Mathematics
%D 2009
%I arXiv
%X We discuss the Capitulation Problem for Neron-Raynaud class groups of tori over global fields F and obtain generalizations of the main results of [10]. We also show that short exact sequences of F-tori induce long exact sequences involving the corresponding Neron-Raynaud class groups. For example, we show that the Neron-Raynaud class group of any F-torus which is split by a metacyclic extension of F can be "resolved" in terms of classical ideal class groups of global fields.
%U http://arxiv.org/abs/0903.3221v1