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math.GR2011
A conjecture about Artin-Tits groups
Patrick Dehornoy, Eddy Godelle
We conjecture that the word problem of Artin-Tits groups can be solved without introducing trivial factors ss^{-1} or s^{-1}s. Here we make this statement precise and explain how i…
math.CO2011
Tamari Lattices and the symmetric Thompson monoid
Patrick Dehornoy
We investigate the connection between Tamari lattices and the Thompson group F, summarized in the fact that F is a group of fractions for a certain monoid F+sym whose Cayley graph…