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

2011/06/06 by Costoya, C., Viruel, A. · 1 citation
#05C25 #20F29 #55P10 #55P62 #57N65 #Algebraic Topology (math.AT) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1106.1087

Abstract

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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