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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. The Univ. of Georgia Institute, 1961) Prentice-Hall, Englewood Cliffs, N.J., 1962, pp. 120–167. MR 0140099
  • [GA] F. González-Acuña, Homomorphs of knot groups, Ann. of Math. (2) 102 (1975), no. 2, 373–377. MR 0379671, https://doi.org/10.2307/1971036
  • [N] L. P. Neuwirth, Knot groups, Ann. of Math. Studies, no. 56, Princeton Univ. Press, Princeton, N. J., 1965.

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

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