Concepedia

The word and conjugacy problems for the knot group of any tame, prime, alternating knot

C. M. Weinbaum

Proceedings of the American Mathematical Society · 1971 · 40 citations · 5 references

DOIFull text

Open access

Concepts

Abstract

The decision problems in the title are solved using the solutions of the word and conjugacy problems obtained by Lyndon and Schupp, respectively, for certain classes of groups.

References

5

Introduction to Knot Theory.

H. F. Trotter, Richard H. Crowell, Ralph H. Fox · American Mathematical Monthly · 1964 · 740 citations

, , +16

Topological invariants of knots and links

James Alexander · Transactions of the American Mathematical Society · 1928 · 713 citations · Full text

, , +9

Topological Invariants of Knots and Links

J. Wesley Alexander · Transactions of the American Mathematical Society · 1928 · 124 citations

, , +9

The Word Problem in Fundamental Groups of Sufficiently Large Irreducible 3-Manifolds

Friedhelm Waldhausen · Annals of Mathematics · 1968 · 68 citations · Full text

, , +11

On Dehn's algorithm and the conjugacy problem

Paul E. Schupp · Mathematische Annalen · 1968 · 60 citations

, , +7