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Homomorphs of knot groups


Author: Dennis Johnson
Journal: Proc. Amer. Math. Soc. 78 (1980), 135-138
MSC: Primary 57M25
DOI: https://doi.org/10.1090/S0002-9939-1980-0548101-9
MathSciNet review: 548101
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Abstract: A simple proof that every group finitely generated by a single conjugacy class is the quotient of a knot group.


References [Enhancements On Off] (What's this?)

  • [F] R. H. Fox, A quick trip through knot theory, Topology of 3-Manifolds and Related Topics (Proc. Univ. of Georgia Institute, 1961), Prentice-Hall, Englewood Cliffs, N. J., 1962, pp. 120-167. MR 0140099 (25:3522)
  • [GA] F. Gonzalez-Acuña, Homomorphs of knot groups, Ann. of Math. (2) 102 (1975), 373-377. MR 0379671 (52:576)
  • [N] L. P. Neuwirth, Knot groups, Ann. of Math. Studies, no. 56, Princeton Univ. Press, Princeton, N. J., 1965.

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1980-0548101-9
Article copyright: © Copyright 1980 American Mathematical Society

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