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A partial order in the knot table II
- Source :
- Acta Mathematica Sinica, English Series. 24:1801-1816
- Publication Year :
- 2008
- Publisher :
- Springer Science and Business Media LLC, 2008.
-
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.
Details
- ISSN :
- 14397617 and 14398516
- Volume :
- 24
- Database :
- OpenAIRE
- Journal :
- Acta Mathematica Sinica, English Series
- Accession number :
- edsair.doi...........5dc5a7c14305e92214b17a91426fb2d4