GRAPH SMALL CANCELLATION THEORY APPLIED TO ALTERNATING LINK GROUPS

DOI10.1142/S0218216512501131zbMath1271.57011OpenAlexW2026018557MaRDI QIDQ4904848

Hamish Short, Rémi Cunéo

Publication date: 11 February 2013

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

Full work available at URL: https://doi.org/10.1142/s0218216512501131

zbMATH Keywords

knot groupWirtinger presentationword and conjugacy problem

Mathematics Subject Classification ID

Geometric group theory (20F65) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items

Negative curvature in graphical small cancellation groups

Cites Work

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• The geometry of the word problem for finitely generated groups.
• On the conjugacy problem for knot groups
• Random walk in random groups.
• The conjugacy problem for knot groups
• The conjugacy problem for groups of alternating prime tame links is polynomial-time
• A NEW PROOF THAT ALTERNATING LINKS ARE NON-TRIVIAL