The lamplighter group ℤ3≀ℤ generated by a bireversible automaton

Daniele D'Angeli*, Ievgen Bondarenko, Emanuele Rodaro

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We construct a bireversible self-dual automaton with three states over an alphabet with three letters which generates the lamplighter group ℤ3≀ℤ. In particular, this fact shows that not all groups defined by birevirsible automata are finitely presented.
Original languageEnglish
Pages (from-to)5257-5268
JournalCommunications in Algebra
Issue number12
Publication statusPublished - 2016

Fields of Expertise

  • Information, Communication & Computing

Treatment code (Nähere Zuordnung)

  • Theoretical


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