Iterated Monodromy Groups of Quadratic Polynomials, I
  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'. 
Laurent Bartholdi, Volodymyr V. Nekrashevych