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On the cohomology of a finite covering mapSo let $X$ be a "nice" topological space and assume that $G$ is a finite group which acts freely on $X$. Q: Is there a simple relationship between the cohomology groups $H^i(G,\mathbf{Z}), H^i(X,\mathbf{Z})$ and $H^i(X/G,\mathbf{Z})$? Does the Leray spectral sequence simplifies in this special case?
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