Geodesic
Iterated monodromy groups of quadratic polynomials, I
Laurent Bartholdi1 orcid ; Volodymyr V. Nekrashevych2 orcid
1Georg-August-Universität Göttingen, Germany
2Texas A&M University, College Station, United States
Groups, geometry, and dynamics, Tome 2 (2008) no. 3, pp. 309-336

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DOI

We describe the iterated monodromy groups associated with post-critically finite quadratic polynomials, and make explicit their connection to the ‘kneading sequence’ of the polynomial.
DOI : 10.4171/ggd/42
Classification : 37-XX, 20-XX, 00-XX
Mots-clés : Iterated monodromy groups, quadratic polynomials, automata groups, kneading sequences, recursive presentations

Laurent Bartholdi  1   ; Volodymyr V. Nekrashevych  2

1 Georg-August-Universität Göttingen, Germany
2 Texas A&M University, College Station, United States 
Laurent Bartholdi; Volodymyr V. Nekrashevych. Iterated monodromy groups of quadratic polynomials, I. Groups, geometry, and dynamics, Tome 2 (2008) no. 3, pp. 309-336. doi: 10.4171/ggd/42
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     title = {Iterated monodromy groups of quadratic polynomials, {I}},
     journal = {Groups, geometry, and dynamics},
     pages = {309--336},
     year = {2008},
     volume = {2},
     number = {3},
     doi = {10.4171/ggd/42},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/42/}
}
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