A NEW PROOF THAT ALTERNATING LINKS ARE NON-TRIVIAL

DOI10.1142/S0218216510008157zbMath1201.57007arXivmath/0601242MaRDI QIDQ3581169

Iain Moffatt

Publication date: 16 August 2010

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

Full work available at URL: https://arxiv.org/abs/math/0601242

zbMATH Keywords

word problemknot groupsmall cancellation groupsalternating knotsknots and linksDehn's Lemma

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (1)

GRAPH SMALL CANCELLATION THEORY APPLIED TO ALTERNATING LINK GROUPS

Cites Work

• Unnamed Item
• Small cancellation theory and automatic groups
• On the genus of the alternating knot. II
• State models and the Jones polynomial
• Genus of alternating link types
• Alternating knot diagrams, Euler circuits and the interlace polynomial
• Small cancellation groups and translation numbers
• A geometric proof that alternating knots are non-trivial
• NON-TRIVIALITY OF GENERALIZED ALTERNATING KNOTS

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