Genera of two-bridge knots and epimorphisms of their knot groups
classification
🧮 math.GT
keywords
knotknotstwo-bridgeconditionepimorphismepimorphismsexistsgenera
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Let $K,K'$ be two-bridge knots of genus $n,k$ respectively. We show the necessary and sufficient condition of $n$ in terms of $k$ that there exists an epimorphism from the knot group of $K$ onto that of $K'$.
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