We show that the map obtained by viewing a geometric (i.e. representative) braid as a string link induces an isomorphism of the n-strand braid group onto the group of units of the n-strand string link monoid.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc103-0-9,
title = {Units of the string link monoids},
journal = {Banach Center Publications},
volume = {102},
year = {2014},
pages = {233-240},
zbl = {1317.57004},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc103-0-9}
}
(éd.). Units of the string link monoids. Banach Center Publications, Tome 102 (2014) pp. 233-240. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc103-0-9/