The Thompson-Higman monoids M_{k,i}: the J-order, the D-relation, and their complexity

Jean-Camille Birget

The Thompson-Higman groups G_{k,i} have a natural generalization to monoids M_{k,i}, and inverse monoids Inv_{k,i}. We study some structural features of M_{k,i} and Inv_{k,i} and i…