id: 06018052 dt: j an: 06018052 au: Birget, Jean-Camille ti: Monoids that map onto the Thompson-Higman groups. so: Semigroup Forum 83, No. 1, 33-51 (2011). py: 2011 pu: Springer-Verlag, New York la: EN cc: ut: Thompson-Higman groups; inverse monoids; expansions ci: li: doi:10.1007/s00233-011-9303-0 ab: Summary: A slight modification of the definition of the Thompson-Higman groups $G _{k,1}$ and $F _{k,1}$ leads to inverse monoids that map onto $G _{k,1}$ (respectively $F _{k,1}$), and that have interesting properties: they are finitely generated, and residually finite. These inverse monoids are closely related to the suffix expansion of $G _{k,1}$ (respectively $F _{k,1}$). rv: