19 citations · 29 across the 10 of their papers we have counts for
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math.GR2006★ 1 cited
On a series of finite automata defining free transformation groups
Mariya Vorobets, Yaroslav Vorobets
We introduce two series of finite automata starting from the so-called Aleshin and Bellaterra automata. We prove that each automaton in the first series defines a free non-Abelian…
math.GR2006★ 1 cited
On a free group of transformations defined by an automaton
Mariya Vorobets, Yaroslav Vorobets
We prove that three automorphisms of the rooted binary tree defined by a certain 3-state automaton generate a free non-Abelian group of rank 3.