English

Monoids that map onto the Thompson-Higman groups

Group Theory 2010-09-03 v1

Abstract

A slight modification of the definition of the Thompson-Higman groups G_k1 and F_k1 leads to inverse monoids that map onto G_k1 (respectively F_k1), and that have interesting properties: they are finitely generated, and residually finite. These inverse monoids are closely related to the suffix expansion of G_k1 (respectively F_k1).

Keywords

Cite

@article{arxiv.1009.0502,
  title  = {Monoids that map onto the Thompson-Higman groups},
  author = {Jean-Camille Birget},
  journal= {arXiv preprint arXiv:1009.0502},
  year   = {2010}
}

Comments

17 pages

R2 v1 2026-06-21T16:08:45.314Z