Generalized torsion and Dehn filling

Generalized torsion and Dehn filling

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 S3.

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Veröffentlicht in:Topology and its applications 2021-09, Vol.301, p.107515, Article 107515
Hauptverfasser: Ito, Tetsuya, Motegi, Kimihiko, Teragaito, Masakazu
Format: Artikel
Sprache:eng
Schlagworte:
Dehn filling
Fundamental group
Generalized torsion
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Beschreibung
Zusammenfassung: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 S3.
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2020.107515