Iterated Monodromy Groups of Quadratic Polynomials, I
Group Theory
2016-06-28 v2 Dynamical Systems
Abstract
We describe the iterated monodromy groups associated with post-critically finite quadratic polynomials, and explicit their connection to the `kneading sequence' of the polynomial. We then give recursive presentations by generators and relations for these groups, and study some of their properties, like torsion and `branchness'.
Cite
@article{arxiv.math/0611177,
title = {Iterated Monodromy Groups of Quadratic Polynomials, I},
author = {Laurent Bartholdi and Volodymyr V. Nekrashevych},
journal= {arXiv preprint arXiv:math/0611177},
year = {2016}
}
Comments
18 pages, 3 EPS figures