Geodesic
Profinite closures of the iterated monodromy groups associated with quadratic polynomials
Algebra and discrete mathematics, Tome 23 (2017) no. 2, pp. 285-304.

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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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Ihor Samoilovych. Profinite closures of the iterated monodromy groups associated with quadratic polynomials. Algebra and discrete mathematics, Tome 23 (2017) no. 2, pp. 285-304. http://geodesic.mathdoc.fr/item/ADM_2017_23_2_a10/

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