RESEARCH ARTICLE

Profinite closures of the iterated monodromy groups associated with quadratic polynomials

Ihor Samoilovych

Department of Mechanics and Mathematics, Kyiv National Taras Shevchenko University, Volodymyrska, 64, Kyiv 01033, Ukraine

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.

MSC: 20E08, 20E18, 37F10

Received: 05.04.2017

Language: English

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