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On the Homology of Iwasawa Cohomology Groups
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A fundamental observation of Iwasawa gives a criterion for a ℤp⟦Γ⟧-module to be torsion. In this paper, we study and prove a certain extension of this criterion which will be applied to investigate the structure of the homology of the “Iwasawa cohomology groups” of a Galois module over a p-adic Lie extension. Namely, we will answer partially a question of Hachimori on the structure of the homology of the first Iwasawa cohomology groups as modules over Iwasawa algebras and study the pseudo-nullity of the homology of the second Iwasawa cohomology groups and dual fine Selmer groups.
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