2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/126990We 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 pagesDynamical SystemsGroup Theory20B27;37E10;37C85Growth of groups and diffeomorphisms of the intervaltext