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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Homomorphs of knot groups
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by Dennis Johnson
Proc. Amer. Math. Soc. 78 (1980), 135-138
DOI: https://doi.org/10.1090/S0002-9939-1980-0548101-9
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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
  • 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
  • F. González-Acuña, Homomorphs of knot groups, Ann. of Math. (2) 102 (1975), no. 2, 373–377. MR 379671, DOI 10.2307/1971036
    • L. P. Neuwirth, Knot groups, Ann. of Math. Studies, no. 56, Princeton Univ. Press, Princeton, N. J., 1965.
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Bibliographic Information
  • © Copyright 1980 American Mathematical Society
  • 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