Related papers: A new property of the Alexander polynomial

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

This paper has been withdrawn by the authors. We have discovered an error in the evaluation of the diagram, which invalidates our conclusion.

This paper has been withdrawn due to an incorrect analysis in Section 4.

This paper has been withdrawn by the authors. We have discovered an error in the evaluation of the diagram, which invalidates our conclusion.

This paper has been withdrawn by the author: it was a too preliminary version.

This paper has been withdrawn by the author, due to a crucial error in the proof of Lemma 3.1.

This paper has been withdrawn by the author [arXiv admin].

There are some problems with this paper, and it is being withdrawn.

Title: An unlikely result Authors: T.M. Other Comments: This paper has been withdrawn Abstract: This paper has been withdrawn by the author due to the fact that some of the results turned out to be known.

This paper was withdrawn by the authors due to significant new findings. A new paper on the same topic has been submitted as physics/0310159.

This paper has been withdrawn by the authors.

This paper has been withdrawn by the author because Conjecture 1 is false. Please see arXiv:0901.2093 for a justification that Conjecture 1 is false. The other main results are also available from the above URL.

This paper has been withdrawn by the authors for adding some results.

This paper has been withdrawn due to new simulations that modify some of the results.

This paper has been withdrawn by the author, due to errors in Groebner basis calculations in the cases of five and six dimensional groups.

The paper has been withdrawn.

The paper is withdrawn due to an error in Section 2.

This paper has been withdrawn

This paper has been withdrawn by the author.

This paper has been withdrawn by the author due to an error in the proof of Proposition 4.8.