On a free group of transformations defined by an automaton |
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| Authors: | Mariya Vorobets Yaroslav Vorobets |
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| Institution: | (1) Department of Mathematics, Texas A&M University, mailstop 3368, College Station, TX 77843-3368, USA |
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| Abstract: | 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.
Both authors are supported by the NSF grants DMS-0308985 and DMS-0456185. Yaroslav Vorobets is supported by a Clay Research
Scholarship. |
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| Keywords: | Free group Finite automaton |
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