Finite automaton actions of free products of groups

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.

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Bibliographic Details
Date:2017
Main Authors: Fedorova, M., Oliynyk, A.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2017
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/156019
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Finite automaton actions of free products of groups / M. Fedorova, A. Oliynyk // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 2. — С. 230-236. — Бібліогр.: 4 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine