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math.GR2010★ 1 cited
Monoids that map onto the Thompson-Higman groups
Jean-Camille Birget
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 prope…
math.GR2010
Bernoulli measure on strings, and Thompson-Higman monoids
Jean-Camille Birget
The Bernoulli measure on strings is used to define height functions for the dense R- and L-orders of the Thompson-Higman monoids M_{k,1}. The measure can also be used to characteri…