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• W2962794268 abstract "We prove that the boundary dynamics of the (semi)group generated by the enriched dual transducer characterizes the algebraic property of being free for an automaton group. We specialize this result to the class of bireversible transducers and we show that the property of being not free is equivalent to the existence of a finite Schreier graph in the boundary of the enriched dual pointed at some essentially non-trivial point. From these results we derive some consequences from the algebraic, algorithmic and dynamical points of view." @default.
• W2962794268 created "2019-07-30" @default.
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• W2962794268 date "2016-09-01" @default.
• W2962794268 modified "2023-09-24" @default.
• W2962794268 title "Freeness of automaton groups vs boundary dynamics" @default.
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• W2962794268 doi "https://doi.org/10.1016/j.jalgebra.2016.05.015" @default.
• W2962794268 hasPublicationYear "2016" @default.
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