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

Cristina Costoya Departamento de Computación, Álxebra, Universidade da Coruña Antonio Viruel Departamento de Álgebra, Geometría y Topología, Universidad de Málaga

Representation Theory mathscidoc:1701.30001

Acta Mathematica, 213, (1), 49-62, 2012.11
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.
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@inproceedings{cristina2012every,
  title={Every finite group is the group of self-homotopy equivalences of an elliptic space},
  author={Cristina Costoya, and Antonio Viruel},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203403181948791},
  booktitle={Acta Mathematica},
  volume={213},
  number={1},
  pages={49-62},
  year={2012},
}
Cristina Costoya, and Antonio Viruel. Every finite group is the group of self-homotopy equivalences of an elliptic space. 2012. Vol. 213. In Acta Mathematica. pp.49-62. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203403181948791.
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