On the structure of certain Galois cohomology groups

  • Ralph Greenberg


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