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

I. Bondarenko; D. D'Angeli; E. Rodaro

arXiv:1502.07981·math.GR·March 2, 2015·2 cites

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 $Z_{3} ≀ Z$ .

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TopicsGeometric and Algebraic Topology · semigroups and automata theory · Advanced Combinatorial Mathematics