Every finite group is the group of self-homotopy equivalences of an elliptic space |
| |
| Authors: | Cristina Costoya Antonio Viruel |
| |
| Affiliation: | 1. Departamento de Computación, álxebra, Universidade da Coru?a, Campus de Elvi?a, ES-15071, A Coru?a, Spain
2. Departamento de álgebra, Geometría y Topología, Universidad de Málaga, Campus de Teatinos, ES-29071, Málaga, Spain
|
| |
| 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. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
