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The lamplighter group $\mathbb{Z}_3\wr\mathbb{Z}$ generated by a bireversible automaton (1502.07981v1)
Published 27 Feb 2015 in math.GR and cs.FL
Abstract: We construct a bireversible self-dual automaton with $3$ states over an alphabet with $3$ letters which generates the lamplighter group $\mathbb{Z}_3\wr\mathbb{Z}$.