Growth of groups and diffeomorphisms of the interval

2005/08/18 by Navas, Andrés
#20B27 #37C85 #37E10 #Dynamical Systems (math.DS) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.math/0508353

Abstract

We prove that the so called Grigorchuk-Maki group of intermadiate growth can be seen as a group of C¹ 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.

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