10 citations · 62 across the 38 of their papers we have counts for
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math.GR2016
Multifraction reduction III: The case of interval monoids
Patrick Dehornoy, Friedrich Wehrung
We investigate gcd-monoids, which are cancellative monoids in which any two elements admit a left and a right gcd, and the associated reduction of multifractions (arXiv:1606.08991…
math.GR2016★ 3 cited
Multifraction reduction II: Conjectures for Artin-Tits groups
Patrick Dehornoy
Multifraction reduction is a new approach to the word problem for Artin-Tits groups and, more generally, for the enveloping group of a monoid in which any two elements admit a grea…
math.GR2016★ 5 cited
Multifraction reduction I: The 3-Ore case and Artin-Tits groups of type FC
Patrick Dehornoy
We describe a new approach to the Word Problem for Artin-Tits groups and, more generally, for the enveloping group U(M) of a monoid M in which any two elements admit a greatest com…