#### DOCUMENTA MATHEMATICA,
Vol. Extra Volume: John H. Coates' Sixtieth Birthday (2006), 335-391

** Ralph Greenberg **
On The Structure of
Certain Galois Cohomology Groups

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.

2000 Mathematics Subject Classification: 11R23, 11R34

Keywords and Phrases: Galois cohomology, Iwasawa theory

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