Every finite group is the group of self homotopy equivalences of an elliptic space

Mathematics – Algebraic Topology

Scientific paper

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12 pages, no figures

Scientific paper

In this paper we prove that every finite group $G$ can be realized as the
group of self-homotopy equivalences of infinitely many elliptic spaces $X$.
Moreover, $X$ can be chosen to be the rationalization of an inflexible compact
simply connected manifold.

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