Fumikazu Nagasato, Masaaki Suzuki, Anh T. Tran
Published 2016-09-08Version 1
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 $p \leq 100$.
Comments: 9 pages, 2 figures
A property of diagrams of the trivial knot
Unknotting rectangular diagrams of the trivial knot by exchanging moves
Cosmetic surgery and the $SL(2,\mathbb{C})$ Casson invariant for two-bridge knots
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