2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69256We improve and shorten the argument given in(Journal of Algebra, vol.~210 (1998) pp~291--297). Inparticular, the fact that Artin braid groups are torsion free now follows from Garsideś results almost immediately.Group Theory20F05; 20F36; 20B40The group of fractions of a torsion free lcm monoid is torsion freetext