%0 Journal Article %T Some minimal elements for a partial order of prime knots %A Teruaki Kitano %A Masaaki Suzuki %J Mathematics %D 2014 %I arXiv %X 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. %U http://arxiv.org/abs/1412.3168v1