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

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.

Minor corrections. To appear in Acta Mathematica

References in corpus (4)

• Realizability of the group of rational self-homotopy equivalences
• Rational self-homotopy equivalences and Whitehead exact sequence
• Mapping degrees of self-maps of simply-connected manifolds
• Faithful actions on Differential Graded Algebras determine the isomorphism type of a large class of groups

Cited by in corpus (1)

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