Growth of groups and diffeomorphisms of the interval
Abstract
Description
We prove that the so called Grigorchuk-Maki group of intermadiate growth can be seen as a group of $C^1$ diffeomorphisms of the interval. On the other hand, we prove that every group of $C^{1+α}$ diffeomorphisms of the interval having subexponential growth is almost nilpotent.
25 pages
25 pages