Finite automaton actions of free products of groups

Mariia Fedorova, Andriy Oliynyk

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

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