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Algebra and Discrete Mathematics, 2017, Volume 23, Issue 2, Pages 230–236 (Mi adm606)  
This article is cited in 1 scientific paper (total in 1 paper)

RESEARCH ARTICLE

Finite automaton actions of free products of groups

Mariia Fedorova, Andriy Oliynyk

Taras Shevchenko National University of Kyiv, Volodymyrska 60, Kyiv, Ukraine, 01033
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Abstract: It is shown that for groups $G$ and $H$ that act faithfully by finite state automorphisms on regular rooted trees their free product $G*H$ admits a faithful action by finite state automorphisms on some regular rooted tree.
Keywords: rooted tree, tree automorphism, finite automaton, free product.
Received: 10.06.2017
Revised: 13.06.2017
Bibliographic databases:
Document Type: Article
MSC: 20E08, 20E06, 20F65
Language: English
Citation: Mariia Fedorova, Andriy Oliynyk, “Finite automaton actions of free products of groups”, Algebra Discrete Math., 23:2 (2017), 230–236
Citation in format AMSBIB
\Bibitem{FedOli17}
\by Mariia~Fedorova, Andriy~Oliynyk
\paper Finite automaton actions of free products of groups
\jour Algebra Discrete Math.
\yr 2017
\vol 23
\issue 2
\pages 230--236
\mathnet{http://mi.mathnet.ru/adm606}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000406416100006}
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    • This publication is cited in the following 1 articles:
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    		Algebra and Discrete Mathematics
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