Matthieu Picantin

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math.GR2007

Garside monoids vs divisibility monoids

Matthieu Picantin

Divisibility monoids (resp. Garside monoids) are a natural algebraic generalization of Mazurkiewicz trace monoids (resp. spherical Artin monoids), namely monoids in which the distr…

math.GR2001

Explicit Presentations for the Dual Braid Monoids

Matthieu Picantin

Birman, Ko and Lee have introduced a new monoid $B_{n}^{*}$ --with an explicit presentation--whose group of fractions is the $n$ -strand braid group $B_{n}$ . Building o…

math.GR2001

Automatic structures for torus link groups

Matthieu Picantin

A general result of Epstein and Thurston implies that all link groups are automatic, but the proof provides no explicit automaton. Here we show that the groups of all torus links a…