Teruaki Kitano, Masaaki Suzuki
Published 2014-12-10Version 1
A partial order on the set of prime knots can be defined by the existence of an epimorphism between knot groups. We prove that all the prime knots with up to $6$ crossings are minimal. We also show that each fibered knot with the irreducible Alexander polynomial is minimal.
Polynomials of genus one prime knots of complexity at most five
Quantized $SL(2)$ representations of knot groups
Crosscap number and the partial order on two-bridge knots
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