The group of fractions of a torsion free lcm monoid is torsion free
Dehornoy, Patrick
HAL, hal-00000852 / Harvested from HAL
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 Garside\'s results almost immediately.
Publié le : 2004-07-05
Classification:  least common multiple,  braid group,  group of fractions,  20F05; 20F36; 20B40,  [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]
@article{hal-00000852,
     author = {Dehornoy, Patrick},
     title = {The group of fractions of a torsion free lcm monoid is torsion free},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00000852}
}
Dehornoy, Patrick. The group of fractions of a torsion free lcm monoid is torsion free. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00000852/