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A remark on Alexander polynomial criterion for bi-orderability of fibered 3-manifold groups

We observe that Clay-Rolfsen's obstruction of bi-orderability, which uses the classical Alexander polynomial, is not strengthened by using the twisted Alexander polynomials for finite representations unlike many known applications of the Alexander polynomial. This is shown by studying the maximal ordered abelian quotient of bi-ordered groups.

preprint2010arXivOpen access
Tetsuya Ito
math.GRmath.GT
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Tetsuya Ito

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