Iterated monodromy groups of quadratic polynomials, I Academic Article uri icon


  • 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'.

published proceedings

  • Groups Geometry and Dynamics

author list (cited authors)

  • Bartholdi, L., & Nekrashevych, V.

citation count

  • 19

complete list of authors

  • Bartholdi, Laurent||Nekrashevych, Volodymyr

publication date

  • January 2008