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

zbMath1380.57002arXiv1609.03673MaRDI QIDQ526169

Tetsuya Ito

Publication date: 10 May 2017

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.03673

zbMATH Keywords

fundamental groupAlexander polynomialfibered knotbi-orderablebi-orderable grouprationally homologically fibered knot

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Ordered groups (group-theoretic aspects) (20F60)

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Generalized torsion and Dehn filling ⋮ Generalized torsion for hyperbolic 3‐manifold groups with arbitrary large rank ⋮ Residual torsion-free nilpotence, biorderability and pretzel knots ⋮ Generalized torsion, unique root property and Baumslag-Solitar relation for knot groups ⋮ Ordered groups, knots, braids and hyperbolic 3-manifolds ⋮ Identifying non-pseudo-alternating knots by using the free factor property of minimal genus Seifert surfaces

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