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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, Mariia, Oliynyk, Andriy
Format:	Article
Language:	English
Published:	Lugansk National Taras Shevchenko University 2017
Subjects:	rooted tree tree automorphism finite automaton free product 20E08 20E06 20F65
Online Access:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/477
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Journal Title:	Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics

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