The lamplighter group $\mathbb{Z}_3\wr\mathbb{Z}$ generated by a bireversible automaton

27 Feb 2015  ·  Bondarenko I., D'Angeli D., Rodaro E. ·

We construct a bireversible self-dual automaton with $3$ states over an alphabet with $3$ letters which generates the lamplighter group $\mathbb{Z}_3\wr\mathbb{Z}$...

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Group Theory Formal Languages and Automata Theory