On the growth of iterated monodromy groups
Group Theory
2007-05-23 v2 Dynamical Systems
Abstract
Nekrashevych conjectured that the iterated monodromy groups of quadratic polynomials with preperiodic critical orbit have intermediate growth. We illustrate some of the difficulties that arise in attacking this conjecture and prove subexponential growth for the iterated monodromy group of . This is the first non-trivial example supporting the conjecture.
Keywords
Cite
@article{arxiv.math/0405456,
title = {On the growth of iterated monodromy groups},
author = {Kai-Uwe Bux and Rodrigo Perez},
journal= {arXiv preprint arXiv:math/0405456},
year = {2007}
}
Comments
15 pages, 1 figure. Revised abstract and introduction