A New Solution to the Word Problem in the Fundamental Groups of Alternating Knots and Links

DOI10.2307/1998965zbMath0508.57003OpenAlexW4249325047MaRDI QIDQ4746499

Mark J. Dugopolski

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/1998965

zbMATH Keywords

Haken 3-manifoldsword problem in the fundamental groups of alternating knots and links

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items (1)

Model-theoretic and algorithmic questions in group theory

Cites Work

• The word problem in fundamental groups of sufficiently large irreducible 3-manifolds
• The Word and Conjugacy Problems for the Knot Group of any Tame, Prime, Alternating Knot
• The Conjugacy Problem for the Group of Any Tame Alternating Knot is Solvable

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