Growth of groups and diffeomorphisms of the interval

Details Growth of groups and diffeomorphisms of the interval Growth of groups and diffeomorphisms of the interval

2005-08-18

arxiv.org/abs/math/0508353v5

Mathematics

Dynamical Systems

25 pages

Scientific paper

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 $C^{1+\alpha}$ diffeomorphisms of the interval
having subexponential growth is almost nilpotent.

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