Representing knot groups into $\textrm {SL}(2,\textbf {C})$
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- by D. Cooper and D. D. Long PDF
- Proc. Amer. Math. Soc. 116 (1992), 547-549 Request permission
Abstract:
We show that if a knot in ${S^3}$ has nontrivial Alexander polynomial then the fundamental group of its complement has a representation into $\operatorname {SL}(2,{\mathbf {C}})$ whose image contains a free group of rank two.References
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G. Burde and H. Zeischang, Knots, de Gruyter Stud. Math., vol. 5, de Gruyter, Berlin, 1985.
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 116 (1992), 547-549
- MSC: Primary 57M25
- DOI: https://doi.org/10.1090/S0002-9939-1992-1100647-9
- MathSciNet review: 1100647