Cyclic surgery on knots
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- by Shi Cheng Wang PDF
- Proc. Amer. Math. Soc. 107 (1989), 1091-1094 Request permission
Abstract:
We get a necessary condition under which a nonsimple knot (i.e. a satellite knot) admits a nontrivial surgery producing a lens space. Interesting corollaries are: (1) if a lens space can be obtained from a nontrivial surgery on a nonsimple knot, then the order of its fundamental group is not smaller than 23; (2) any nonsimple knot admits at most one nontrivial surgery which produces a lens space.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 107 (1989), 1091-1094
- MSC: Primary 57N10; Secondary 57M25
- DOI: https://doi.org/10.1090/S0002-9939-1989-0984820-6
- MathSciNet review: 984820