Finite automaton actions of free products of groups

• Published in: Algebra and Discrete Mathematics
• Date: 2017
• Main Authors: Fedorova, M., Oliynyk, A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156019
• 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.

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.