Greenberg, Ralph

On the structure of certain Galois cohomology groups

Doc. Math. (Bielefeld) Extra Vol. John H. Coates' Sixtieth Birthday, 335-391 (2006)


This paper primarily concerns Galois cohomology groups associated to Galois representations over a complete local ring $R$. The underlying Galois module and the corresponding cohomology groups which we consider are discrete $R$-modules. Under certain hypotheses, we prove that the first cohomology group is an almost divisible $R$-module. We also consider the subgroup of locally trivial elements in the second cohomology group, proving under certain hypotheses that it is a coreflexive $R$-module.

Mathematics Subject Classification

11R23, 11R34


Iwasawa theory