| Full text | |
| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] Univ Sao Paulo, IME, Dept Matemat, BR-05311970 Sao Paulo - Brazil
[2] Bates Coll, Dept Math, Lewiston, ME 04240 - USA
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK; v. 633, p. 11-27, AUG 2009. |
| Web of Science Citations: | 24 |
| Abstract | |
A group is said to have the R(infinity) property if every automorphism has an infinite number of twisted conjugacy classes. We study the question whether G has the R(infinity) property when G is a finitely generated torsion-free nilpotent group. As a consequence, we show that for every positive integer n >= 5, there is a compact nilmanifold of dimension n on which every homeomorphism is isotopic to a fixed point free homeomorphism. As a by-product, we give a purely group theoretic proof that the free group on two generators has the R(infinity) property. The R(infinity) property for virtually abelian and for C-nilpotent groups are also discussed. (AU) | |
| FAPESP's process: | 00/05385-8 - Algebraic, geometric and differential topology |
| Grantee: | Daciberg Lima Gonçalves |
| Support Opportunities: | Research Projects - Thematic Grants |