The group of fractions of a torsion free lcm monoid is torsion free

2003/11/30 by Patrick Dehornoy
Mathematics · #math.GR #msc:20F05 #msc:20F36 #msc:20B40

paper · pdf

published as Journal of Algebra 281 (2004) 303-305

arxiv created 2005/02/04 · arxiv updated 2009/12/01

Abstract

We 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.

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