On a series of finite automata defining free transformation groups Academic Article uri icon

abstract

  • 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.

published proceedings

  • Groups, Geometry, and Dynamics

author list (cited authors)

  • Vorobets, M., & Vorobets, Y.

citation count

  • 16

complete list of authors

  • Vorobets, Mariya||Vorobets, Yaroslav

publication date

  • January 2010