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arXiv · 1502.07981

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

I. Bondarenko·D. D'Angeli·E. Rodaro
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Abstract

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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I. Bondarenko, D. D'Angeli, E. Rodaro. 2015-02-27. The lamplighter group $\mathbb{Z}_3\wr\mathbb{Z}$ generated by a bireversible automaton. https://arxiv.org/abs/1502.07981

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