Monday, 14 May 2007

sheaf theory - group cohomology and cohomology of classifying space

Let $G$ be a discrete group, and $BG$ is the classifying space.
It is well-known that the group cohomology of $G$-module M, is the same as the cohomology on $BG$ with coefficient in $tilde{M}$, which is the associated sheaf of $M$.



Can someone explain how these two cohomologies are related?

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