Profinite closures of the iterated monodromy groups associated with quadratic polynomials

Ihor Samoilovych

Abstract


In this paper we describe the profinite closure of the iterated monodromy groups arising from the arbitrary post-critically finite quadratic polynomial.


Keywords


iterated monodromy groups, quadratic polynomials, profinite grous, profinite limits, group acting on trees

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