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Answer by ozheidi for Relations between the cohomology of discrete groups and...
So I think I need to find a finite sub-$K$-module $A_{\alpha}$ of $A'$ containing $A$ such that $x \in H^q(G,A)$ maps to $0$ in $H^q(G, A_{\alpha})$.Here is the idea : Writing $ A'\cong...
View ArticleRelations between the cohomology of discrete groups and of profinite groups
Let $G$ be a discrete group and $K$ be the profinite completion of $G$. Let $C_K$ denote the category of contionuous $K$-modules and ${C_K}'$ denotes category of finite continuous $K$-modules. Now for...
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