We generate families of commutation relations in various groups, by examining quandle colorings of knots and their quandle 2-cycles. The colorings are via quandles associated to the given groups.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc103-0-14, author = {Joel Zablow}, title = {Links and cycles II: families of commutation relations, parametrized by knots, in the mapping class groups and beyond}, journal = {Banach Center Publications}, volume = {102}, year = {2014}, pages = {371-387}, zbl = {1312.57021}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc103-0-14} }
Joel Zablow. Links and cycles II: families of commutation relations, parametrized by knots, in the mapping class groups and beyond. Banach Center Publications, Tome 102 (2014) pp. 371-387. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc103-0-14/