| Título: | Growth of groups and diffeomorphisms of the interval |
| Autores: | Navas, Andrés |
| Fecha: |
2010-01-06 2010-01-06 2008-09 |
| Publicador: | BIRKHAUSER VERLAG AG |
| Fuente: |
Ver documento |
| Tipo: | Artículo de Revista |
| Tema: |
growth of groups interval diffeomorphisms control of distortion REAL LINE FOLIATIONS CIRCLE HOMEOMORPHISMS UBGROUPS HOLONOMY LEAVES |
| Descripción: | We prove that, for all α > 0, every finitely generated group of C1+α diffeomorphisms of the interval with sub-exponential growth is almost nilpotent. Consequently, there is no group of C1+α interval diffeomorphisms having intermediate growth. In addition, we show that the C1+α regularity hypothesis for this assertion is essential by giving a C1 counter-example. |
| Idioma: | Inglés |