Abstract
We prove that every finite group G can be realized as the group of self-homotopy equivalences of infinitely many elliptic spaces X. To construct those spaces we introduce a new technique which leads, for example, to the existence of infinitely many inflexible manifolds. Further applications to representation theory will appear in a separate paper.
Funding Statement
The first author was partially supported by Ministerio de Ciencia e Innovacióon (European FEDER support included), grant MTM2009-14464-C02-01. The second author was partially supported by Ministerio de Ciencia e Innovacióon (European FEDER support included), grant MTM2010-18089, and JA grants FQM-213 and P07-FQM-2863. Both authors were partially supported by Xunta de Galicia grant EM2013/16.
Citation
Cristina Costoya. Antonio Viruel. "Every finite group is the group of self-homotopy equivalences of an elliptic space." Acta Math. 213 (1) 49 - 62, 2014. https://doi.org/10.1007/s11511-014-0115-4
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