The Word and Conjugacy Problems for the Knot Group of any Tame, Prime, Alternating Knot

DOI10.2307/2038211zbMath0228.55004OpenAlexW4254845050MaRDI QIDQ5636056

C. M. Weinbaum

Publication date: 1971

Full work available at URL: https://doi.org/10.2307/2038211

Mathematics Subject Classification ID

Homotopy theory (55P99)

Related Items (14)

Nonpositively curved 2-complexes with isolated flats. ⋮ A New Solution to the Word Problem in the Fundamental Groups of Alternating Knots and Links ⋮ On the conjugacy problem for knot groups ⋮ Aspherical group presentations ⋮ Small cancellation groups and translation numbers ⋮ An application of non-positively curved cubings of alternating links ⋮ The Conjugacy Problem for the Group of Any Tame Alternating Knot is Solvable ⋮ Path homotopy invariants and their application to optimal trajectory planning ⋮ Homotopically equivalent simple loops on 2-bridge spheres in 2-bridge link complements. I ⋮ Rewriting systems in alternating knot groups with the Dehn presentation ⋮ Small cancellation theory and automatic groups ⋮ The conjugacy problem for groups of alternating prime tame links is polynomial-time ⋮ Model-theoretic and algorithmic questions in group theory ⋮ Small cancellation theory and automatic groups. II

Cites Work

• On Dehn's algorithm
• On Dehn's algorithm and the conjugacy problem
• The word problem in fundamental groups of sufficiently large irreducible 3-manifolds
• Unnamed Item

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