Generalized torsion and Dehn filling

Kimihiko Motegi; Masakazu Teragaito; Tetsuya Ito

Generalized torsion and Dehn filling

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arxiv 2009.00152 v2 pith:5LHMQPUX submitted 2020-08-31 math.GT math.GR

Tetsuya Ito , Kimihiko Motegi , Masakazu Teragaito This is my paper · ORCID

classification math.GTmath.GR

keywords elementgeneralizedtorsiondehnalongconjugatesconstructfilling

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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.

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