A partial order in the knot table II |
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| Authors: | Teruaki Kitano Masaaki Suzuki |
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| Institution: | (1) Department of Information Systems Science, Faculty of Engineering, Soka University, 1-236 Tangi-cho, Hachioji-city, Tokyo 192-8577, Japan;(2) Department of Mathematics, Akita University, 1-1 Tegata-Gakuenmachi, Akita 010-8502, Japan |
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| Abstract: | A partial order on the set of the prime knots can be defined by the existence of a surjective homomorphism between knot groups.
In the previous paper, we determined the partial order in the knot table. In this paper, we prove that 31 and 41 are minimal elements. Further, we study which surjection a pair of a periodic knot and its quotient knot induces, and which
surjection a degree one map can induce.
The authors are supported in part by Grand-in-Aid for Scientific Research (No. 17540064 and No. 18840008) |
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| Keywords: | knot partial order surjective homomorphism period degree one map |
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