Journal of the Ramanujan Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

On the Homology of Iwasawa Cohomology Groups


Affiliations
1 Department of Mathematics, University of Toronto, 40 St. George St., Toronto, Ontario M5S 2E4, Canada
     

   Subscribe/Renew Journal


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.
User
Subscription Login to verify subscription
Notifications
Font Size

Abstract Views: 172

PDF Views: 0




  • On the Homology of Iwasawa Cohomology Groups

Abstract Views: 172  |  PDF Views: 0

Authors

Meng Fai Lim
Department of Mathematics, University of Toronto, 40 St. George St., Toronto, Ontario M5S 2E4, Canada

Abstract


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.