Iterated Monodromy Groups of Quadratic Polynomials, I

Details Iterated Monodromy Groups of Quadratic Polynomials, I Iterated Monodromy Groups of Quadratic Polynomials, I

2006-11-07

arxiv.org/abs/math/0611177v2

Groups Geom. Dyn. 2 (2008), no. 3, 309--336

Mathematics

Group Theory

18 pages, 3 EPS figures

Scientific paper

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'.

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