Generalized torsion elements in the knot groups of twist knots

DOI10.1090/proc/12864zbMath1339.57016arXiv1505.01590OpenAlexW2962884255MaRDI QIDQ2796738

Masakazu Teragaito

Publication date: 29 March 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.01590

zbMATH Keywords

Seifert surfacetwist knotgroup presentationbi-orderable knot groupgeneralized torsion element

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Ordered groups (06F15)

Related Items (9)

Generalized torsion and Dehn filling ⋮ Generalized torsion for knots with arbitrarily high genus ⋮ Generalized torsion for hyperbolic 3‐manifold groups with arbitrary large rank ⋮ Generalized torsion elements in the fundamental groups of 3-manifolds obtained by 0-surgeries along some double twist knots ⋮ Generalized torsion, unique root property and Baumslag-Solitar relation for knot groups ⋮ Generalized torsion elements in the fundamental groups of once punctured torus bundles ⋮ Unnamed Item ⋮ A family of bi-orderable non-fibered 2-bridge knot groups ⋮ Generalized torsion elements and hyperbolic links

Cites Work

• Unnamed Item
• Generalized Torsion in Knot Groups
• Testing Bi-orderability of Knot Groups
• Ordered groups, eigenvalues, knots, surgery and L-spaces
• On orderability of fibred knot groups
• Residual nilpotence and ordering in one-relator groups and knot groups
• Representations of knot groups and twisted Alexander polynomials

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