A new solution to the word problem in the fundamental groups of alternating knots and links
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- by Mark J. Dugopolski PDF
- Trans. Amer. Math. Soc. 272 (1982), 375-382 Request permission
Abstract:
A new solution to the word problem for alternating knots and links is given. The solution is based on Waldhausen’s algorithm, but is greatly simplified.References
- K. I. Appel and P. E. Schupp, The conjugacy problem for the group of any tame alternating knot is solvable, Proc. Amer. Math. Soc. 33 (1972), 329–336. MR 294460, DOI 10.1090/S0002-9939-1972-0294460-X
- Friedhelm Waldhausen, The word problem in fundamental groups of sufficiently large irreducible $3$-manifolds, Ann. of Math. (2) 88 (1968), 272–280. MR 240822, DOI 10.2307/1970574
- C. M. Weinbaum, The word and conjugacy problems for the knot group of any tame, prime, alternating knot, Proc. Amer. Math. Soc. 30 (1971), 22–26. MR 279169, DOI 10.1090/S0002-9939-1971-0279169-X
Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 272 (1982), 375-382
- MSC: Primary 57M05; Secondary 20F10
- DOI: https://doi.org/10.1090/S0002-9947-1982-0656495-5
- MathSciNet review: 656495