This article is cited 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

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.

MSC: 20E08, 20E06, 20F65

Received: 10.06.2017
Revised: 13.06.2017

Language: English

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