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arxiv: 1609.02244 · v1 · pith:NILOHBCNnew · submitted 2016-09-08 · 🧮 math.GT

On minimality of two-bridge knots

classification 🧮 math.GT
keywords knotminimaltwo-bridgeadmitscalleddetermineepimorphismsgroup
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A knot is called minimal if its knot group admits epimorphisms onto the knot groups of only the trivial knot and itself. In this paper, we determine which two-bridge knot $\mathfrak{b}(p,q)$ is minimal where $q \leq 6$ or $p \leq 100$.

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