Generalized torsion elements and hyperbolic links

DOI10.1142/S0218216520500790zbMath1457.57009arXiv2006.10312OpenAlexW3091390310WikidataQ115523471 ScholiaQ115523471MaRDI QIDQ3388029

Masakazu Teragaito

Publication date: 8 January 2021

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.10312

zbMATH Keywords

pretzel linkhyperbolic linkbi-orderinggeneralized torsion elementfigure-eight sister manifoldWhitehead sister link

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Ordered groups (06F15) Ordered groups (group-theoretic aspects) (20F60) Knot theory (57K10) General topology of 3-manifolds (57K30)

Related Items (4)

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 elements in the fundamental groups of once punctured torus bundles

Cites Work

• Dehn filling of the ``magic 3-manifold
• Laminations and groups of homeomorphisms of the circle
• The orientable cusped hyperbolic \(3\)-manifolds of minimum volume
• Braids, orderings, and minimal volume cusped hyperbolic 3-manifolds
• An example of an unordered group with strictly isolated identity element
• Generalized Torsion in Knot Groups
• Generalized torsion elements in the knot groups of twist knots
• Testing Bi-orderability of Knot Groups
• The minimal volume orientable hyperbolic 2-cusped 3-manifolds
• Minimum volume cusped hyperbolic three-manifolds
• Ordered groups and topology
• On orderability of fibred knot groups
• Generalized Torsion Elements and Bi-orderability of 3-manifold Groups
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