Abstract: There is an interesting conjecture that a 3-manifold group is bi-orderable iff it has no generalized torsion element. It implies another conjecture that a Dehn filling has a generalized torsion element if the surgery slope is not meridian and longitude. In this talk, we follow a paper of Ito-Motegi-Teragaito. They construct generalized torsion elements for some knots’ Dehn fillings to support the second conjecture.
