Geodesic
Twisted Alexander polynomials detect the unknot
Silver, Daniel S1 ; Williams, Susan G1
1Department of Mathematics and Statistics, University of South Alabama, Mobile, AL 36688-0002, USA
Algebraic and Geometric Topology, Tome 6 (2006) no. 4, pp. 1893-1901
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The group of a nontrivial knot admits a finite permutation representation such that the corresponding twisted Alexander polynomial is not a unit.

DOI : 10.2140/agt.2006.6.1893
Keywords: knot, Alexander polynomial, twisted Alexander polynomial.

Silver, Daniel S  1   ; Williams, Susan G  1

1 Department of Mathematics and Statistics, University of South Alabama, Mobile, AL 36688-0002, USA 
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Silver, Daniel S; Williams, Susan G. Twisted Alexander polynomials detect the unknot. Algebraic and Geometric Topology, Tome 6 (2006) no. 4, pp. 1893-1901. doi: 10.2140/agt.2006.6.1893

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