On two-generator satellite knots
Steven A. Bleiler, Amelia C. Jones
math.GTarXiv:math/9703206
Abstract
Techniques are introduced which determine the geometric structure of non-simple 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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