The lamplighter group ℤ₃\wrℤ generated by a bireversible automaton

2015/02/27 by Ievgen Bondarenko, I. Bondarenko, Bondarenko, I. +6 · 1 citation
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Geometric and Algebraic Topology #cs.FL #math.GR #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1502.07981

arxiv created 2015/02/27 · arxiv updated 2015/03/02

Abstract

We construct a bireversible self-dual automaton with 3 states over an alphabet with 3 letters which generates the lamplighter group ℤ₃\wrℤ.

Cited by

• On state-closed representations of restricted wreath product of groups of type G_p,d=C_pwrC^d

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