Geodesic
On a series of finite automata defining free transformation groups
Mariya Vorobets1 ; Yaroslav Vorobets1
1Texas A&M University, College Station, USA
Groups, geometry, and dynamics, Tome 4 (2010) no. 2, pp. 377-405

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DOI

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.
DOI : 10.4171/ggd/87
Classification : 20-XX, 00-XX
Mots-clés : Automaton group, free non-Abelian group, finite automaton

Mariya Vorobets  1   ; Yaroslav Vorobets  1

1 Texas A&M University, College Station, USA 
Mariya Vorobets; Yaroslav Vorobets. On a series of finite automata defining free transformation groups. Groups, geometry, and dynamics, Tome 4 (2010) no. 2, pp. 377-405. doi: 10.4171/ggd/87
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     pages = {377--405},
     year = {2010},
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     number = {2},
     doi = {10.4171/ggd/87},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/87/}
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