paper

Generalized torsion and Dehn filling

arXiv:2009.00152

Abstract

A generalized torsion element is a non-trivial element such that some non-empty finite product of its conjugates is the identity. We construct a generalized torsion element of the fundamental group of a 3-manifold obtained by Dehn surgery along a knot in the 3-sphere.

15 pages, 9 figures. We fixed the problem in figures