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On Two Generator Satellite Knots

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Abstract

Techniques are introduced which determine the geometric structure of nonsimple two-generator 3-manifolds from purely algebraic data. As an application, the satellite knots in the 3-sphere with a two-generator presentation in which at least one generator is represented by a meridian for the knot are classified.

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Authors and Affiliations

  1. Department of Mathematics, Portland State University, Portland, OR, 97207-0751, U.S.A

    Steven A. Bleiler

  2. Department of Mathematics, Vassar College, Poughkeepsie, NY, 12601, U.S.A

    Amelia C. Jones

Authors
  1. Steven A. Bleiler
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  2. Amelia C. Jones
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Bleiler, S.A., Jones, A.C. On Two Generator Satellite Knots. Geometriae Dedicata 104, 1–14 (2004). https://doi.org/10.1023/B:GEOM.0000022828.86901.b6

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  • DOI: https://doi.org/10.1023/B:GEOM.0000022828.86901.b6

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