Bernoulli measure on strings, and Thompson-Higman monoids

Details Bernoulli measure on strings, and Thompson-Higman monoids Bernoulli measure on strings, and Thompson-Higman monoids

2010-04-30

arxiv.org/abs/1004.5589v1

Mathematics

Group Theory

27 pages.

Scientific paper

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 characterize the D-relation of certain submonoids of M_{k,1}. The computational complexity of computing the Bernoulli measure of certain sets, and in particular, of computing the R- and L-height of an element of M_{k,1} is investigated.

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