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2006 Twisted Alexander polynomials detect the unknot
Daniel S Silver, Susan G Williams
Algebr. Geom. Topol. 6(4): 1893-1901 (2006). DOI: 10.2140/agt.2006.6.1893

Abstract

The group of a nontrivial knot admits a finite permutation representation such that the corresponding twisted Alexander polynomial is not a unit.

Citation

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Daniel S Silver. Susan G Williams. "Twisted Alexander polynomials detect the unknot." Algebr. Geom. Topol. 6 (4) 1893 - 1901, 2006. https://doi.org/10.2140/agt.2006.6.1893

Information

Received: 5 June 2006; Revised: 20 August 2006; Accepted: 11 September 2006; Published: 2006
First available in Project Euclid: 20 December 2017

zbMATH: 1132.57010
MathSciNet: MR2263053
Digital Object Identifier: 10.2140/agt.2006.6.1893

Subjects:
Primary: 57M25
Secondary: 37B40

Rights: Copyright © 2006 Mathematical Sciences Publishers

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