Groups of real analytic diffeomorphisms of the circle with a finite image under the rotation number function
| dc.creator | Matsuda, Yoshifumi | |
| dc.date | 2008-11-02 | |
| dc.date.accessioned | 2026-07-07T10:14:50Z | |
| dc.date.available | 2026-07-07T10:14:50Z | |
| dc.description | We consider groups of orientation-preserving real analytic diffeomorphisms of the circle which have a finite image under the rotation number function. We show that if such a group is nondiscrete with respect to the $C^1$-topology then it has a finite orbit. As a corollary, we show that if such a group has no finite orbit then each of its subgroups contains either a cyclic group of finite index or a nonabelian free subgroup. | |
| dc.description | 21 pages, to appear in Annales de l'Institut Fourier | |
| dc.identifier | https://arxiv.org/abs/0811.0192 | |
| dc.identifier | http://arxiv.org/abs/0811.0192 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/173019 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Group Theory | |
| dc.subject | 37E45, 37E10, 57S05, 37B05, 20F67 | |
| dc.title | Groups of real analytic diffeomorphisms of the circle with a finite image under the rotation number function | |
| dc.type | text |