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Tetsuya Ito
Alexander polynomial obstruction of bi-orderability for rationally homologically fibered knot groups view print
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| Published: |
April 4, 2017
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| Keywords: |
Bi-orderable group, Alexander polynomial |
| Subject: |
Primary~57M05, Secondary~20F60,06F15 |
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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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| Acknowledgements
This work was supported by JSPS KAKENHI Grant Number 15K17540.
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| Author information
Department of Mathematics, Graduate School of Science, Osaka University, 1-1 Machikaneyama Toyonaka, Osaka 560-0043, JAPAN
tetito@math.sci.osaka-u.ac.jp
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