The lamplighter group $\mathbb{Z}_3\wr\mathbb{Z}$ generated by a bireversible automaton
Group Theory
2015-03-02 v1 Formal Languages and Automata Theory
Abstract
We construct a bireversible self-dual automaton with states over an alphabet with letters which generates the lamplighter group .
Cite
@article{arxiv.1502.07981,
title = {The lamplighter group $\mathbb{Z}_3\wr\mathbb{Z}$ generated by a bireversible automaton},
author = {I. Bondarenko and D. D'Angeli and E. Rodaro},
journal= {arXiv preprint arXiv:1502.07981},
year = {2015}
}