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

Abstract

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

Cited by in corpus (1)

• On state-closed representations of restricted wreath product of groups of type G_{p,d}=C_{p}wrC^{d}