Parabolic generating pairs of genus-one 2-bridge knot groups

DOI10.1142/S0218216516500231zbMath1352.57012arXiv1508.03793MaRDI QIDQ2805388

Donghi Lee, Makoto Sakuma

Publication date: 11 May 2016

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

Full work available at URL: https://arxiv.org/abs/1508.03793

zbMATH Keywords

2-bridge knot groupparabolic generating pair

Mathematics Subject Classification ID

Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (2)

Classification of parabolic generating pairs of Kleinian groups with two parabolic generators ⋮ Genera of two-bridge knots and epimorphisms of their knot groups

Cites Work

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• Epimorphisms from 2-bridge link groups onto Heckoid groups. II
• Unknotting tunnels in two-bridge knot and link complements
• Three-dimensional orbifolds and cone-manifolds
• Hyperbolic 3-manifolds with two generators
• Epimorphisms between 2-bridge link groups: homotopically trivial simple loops on 2-bridge spheres
• INVOLUTIONS OF KNOTS THAT FIX UNKNOTTING TUNNELS
• Epimorphisms between 2-bridge link groups

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