%0 Journal Article
%T Monoids that map onto the Thompson-Higman groups
%A Jean-Camille Birget
%J Mathematics
%D 2010
%I arXiv
%X 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).
%U http://arxiv.org/abs/1009.0502v1