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Algebra and Discrete Mathematics, 2017, Volume 23, Issue 2, Pages 285–304 (Mi adm611)  
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
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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.
Received: 05.04.2017
Bibliographic databases:
Document Type: Article
MSC: 20E08, 20E18, 37F10
Language: English
Citation: Ihor Samoilovych, “Profinite closures of the iterated monodromy groups associated with quadratic polynomials”, Algebra Discrete Math., 23:2 (2017), 285–304
Citation in format AMSBIB
\Bibitem{Sam17}
\by Ihor Samoilovych
\paper Profinite closures of the iterated monodromy groups associated with quadratic polynomials
\jour Algebra Discrete Math.
\yr 2017
\vol 23
\issue 2
\pages 285--304
\mathnet{http://mi.mathnet.ru/adm611}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000406416100011}
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