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Every finite group is the group of self-homotopy equivalences of an elliptic space.
- Source :
-
Acta Mathematica (Springer Nature) . Sep2014, Vol. 213 Issue 1, p49-62. 14p. - Publication Year :
- 2014
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00015962
- Volume :
- 213
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Acta Mathematica (Springer Nature)
- Publication Type :
- Academic Journal
- Accession number :
- 98371225
- Full Text :
- https://doi.org/10.1007/s11511-014-0115-4