English

Bireversible automata generating lamplighter groups

Group Theory 2022-06-10 v1

Abstract

For every non-trivial finite abelian group AA, we exhibit a bireversible automaton generating the lamplighter group AZA \wr \mathbb{Z}.

Keywords

Cite

@article{arxiv.2206.04633,
  title  = {Bireversible automata generating lamplighter groups},
  author = {Dominik Francoeur},
  journal= {arXiv preprint arXiv:2206.04633},
  year   = {2022}
}

Comments

7 pages

R2 v1 2026-06-24T11:45:27.932Z