We give a necessary condition for a torus knot to be untied by a single twisting. By using this result, we give infinitely many torus knots that cannot be untied by a single twisting.
@article{urn:eudml:doc:44388, title = {Torus knots that cannot be untied by twisting.}, journal = {Revista Matem\'atica de la Universidad Complutense de Madrid}, volume = {14}, year = {2001}, pages = {423-437}, zbl = {0991.57008}, mrnumber = {MR1871306}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44388} }
Ait Nouh, Mohamed; Yasuhara, Akira. Torus knots that cannot be untied by twisting.. Revista Matemática de la Universidad Complutense de Madrid, Tome 14 (2001) pp. 423-437. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44388/