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.
@article{ADM_2017_23_2_a10,
     author = {Ihor Samoilovych},
     title = {Profinite closures of the iterated monodromy groups associated with quadratic polynomials},
     journal = {Algebra and discrete mathematics},
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     volume = {23},
     number = {2},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2017_23_2_a10/}
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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/