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arXiv:math/0508353 [math.DS]AbstractReferencesReviewsResources

Growth of groups and diffeomorphisms of the interval

Andrés Navas

Published 2005-08-18, updated 2007-04-08Version 5

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.

Comments: 25 pages
Categories: math.DS, math.GR
Subjects: 20B27, 37E10, 37C85
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