On a free group of transformations defined by an automaton

Details On a free group of transformations defined by an automaton On a free group of transformations defined by an automaton

2006-01-10

arxiv.org/abs/math/0601231v2

Mathematics

Group Theory

19 pages, 4 figures

Scientific paper

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.

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