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

• 成果类型: Article
• 署名作者: Costoya, Cristina; Viruel, Antonio
• 署名单位: Universidad de Malaga; Universidade da Coruna; Universidad de Malaga
• 刊物名称: ACTA MATHEMATICA
• ISSN/ISSBN: 0001-5962
• DOI: 10.1007/s11511-014-0115-4
• 发表日期: 2014
• 页码: 49-62
• 关键词: realization

摘要

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.