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/