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

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

2011-06-06

arxiv.org/abs/1106.1087v2

Mathematics

Algebraic Topology

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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