On the homology of Iwasawa cohomology groups

Abstract

A fundamental observation of Iwasawa gives a criterion for a module over the classical Iwasawa algebra to be torsion. In this paper, we study a certain extension of this criterion. We will then apply this to study the structure of the homology of the "Iwasawa cohomology groups" and dual fine Selmer groups.

arXiv comment13 pages. Some minor corrections