Universal spaces for finite group actions on spaces of type $K(π,1)$

In this paper author proposes a construction of a universal space of type $K(π,1)$ such that any action (up to homotopy conjugation) of a given finite group $G$ on spaces of the same homotopy type is presented on the constructed space. Moreover, any action of $G$ on any space of type $K(π,1)$ is covered by some action of $G$ on this universal space.

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