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We give a criterion for distinguishing a prime knot $K$ in $S^3$ from every other knot in $S^3$ using the finite quotients of $\pi_1(S^3\setminus K)$. Using recent work of Baldwin-Sivek,… Click to show full abstract
We give a criterion for distinguishing a prime knot $K$ in $S^3$ from every other knot in $S^3$ using the finite quotients of $\pi_1(S^3\setminus K)$. Using recent work of Baldwin-Sivek, we apply this criterion to the hyperbolic knots $5_2$, $15n_{43522}$, and the three-strand pretzel knots $P(-3,3,2n+1)$ for every integer $n$.
Keywords:
distinguishing genus;
finite quotients;
using finite;
one knots;
genus one;
knots using
Journal Title: Journal of Knot Theory and Its Ramifications
Year Published: 2022
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Journal Title: Journal of Knot Theory and Its Ramifications
Year Published: 2022
Link to full text (if available)
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recommendations!