Alexander polynomial obstruction of bi-orderability for rationally homologically fibered knot groups

Tetsuya Ito

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arXiv · 1609.03673

Alexander polynomial obstruction of bi-orderability for rationally homologically fibered knot groups

Tetsuya Ito

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Abstract

We show that if the fundamental group of the complement of a rationally homologically fibered knot in a rational homology 3-sphere is bi-orderable, then its Alexander polynomial has at least one positive real root. Our argument can be applied for a finitely generated group which is an HNN extension with certain properties.

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Tetsuya Ito. 2016-09-13. Alexander polynomial obstruction of bi-orderability for rationally homologically fibered knot groups. https://arxiv.org/abs/1609.03673

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