On a series of finite automata defining free transformation groups
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We introduce two series of finite automata starting from the so-called Aleshin and Bellaterra automata. We prove that transformations defined by automata from the first series generate a free non-Abelian group of infinite rank, while automata from the second series give rise to the free product of infinitely many groups of order 2. European Mathematical Society.
Groups, Geometry, and Dynamics
author list (cited authors)
Vorobets, M., & Vorobets, Y.
complete list of authors
Vorobets, Mariya||Vorobets, Yaroslav