Iterated Monodromy Groups of Quadratic Polynomials, I

Laurent Bartholdi; Volodymyr V. Nekrashevych

doi:10.4171/ggd/42

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Iterated Monodromy Groups of Quadratic Polynomials, I

Laurent Bartholdi·Volodymyr V. Nekrashevych

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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'.

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BibTeX RIS

Laurent Bartholdi, Volodymyr V. Nekrashevych. 2006-11-07. Iterated Monodromy Groups of Quadratic Polynomials, I. https://doi.org/10.4171/ggd/42

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