Generalized torsion and Dehn filling
Geometric Topology
2020-09-03 v2 Group Theory
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.
Cite
@article{arxiv.2009.00152,
title = {Generalized torsion and Dehn filling},
author = {Tetsuya Ito and Kimihiko Motegi and Masakazu Teragaito},
journal= {arXiv preprint arXiv:2009.00152},
year = {2020}
}
Comments
15 pages, 9 figures. We fixed the problem in figures