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2014 Every finite group is the group of self-homotopy equivalences of an elliptic space
Cristina Costoya, Antonio Viruel
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Acta Math. 213(1): 49-62 (2014). DOI: 10.1007/s11511-014-0115-4

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.

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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

Information

Received: 20 November 2012; Published: 2014
First available in Project Euclid: 30 January 2017

zbMATH: 1308.55005
MathSciNet: MR3261010
Digital Object Identifier: 10.1007/s11511-014-0115-4

Rights: 2014 © Institut Mittag-Leffler

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Vol.213 • No. 1 • 2014
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