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On minimal elements for a partial order of prime knots
- Source :
-
Topology & Its Applications . Mar2012, Vol. 159 Issue 4, p1059-1063. 5p. - Publication Year :
- 2012
-
Abstract
- Abstract: In this paper, applying Chebyshev polynomials we give a basic proof of the irreducibility over the complex number field of the defining polynomial of -character variety of twist knots in infinitely many cases. The irreducibility, combined with a result in the paper of M. Boileau, S. Boyer, A.W. Reid and S. Wang in 2010, shows the minimality of infinitely many twist knots for a partial order on the set of prime knots defined by using surjective group homomorphisms between knot groups. In Appendix B, we also give a straightforward proof of the result of Boileau et al. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 01668641
- Volume :
- 159
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Topology & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 71273982
- Full Text :
- https://doi.org/10.1016/j.topol.2011.11.022