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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On metabelian two-knot groups
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by Jonathan A. Hillman
Proc. Amer. Math. Soc. 96 (1986), 372-374
DOI: https://doi.org/10.1090/S0002-9939-1986-0818474-3

Abstract:

We show that if the commutator subgroup of a $2$-knot group is abelian but not finitely generated, then it is isomorphic to the additive group of dyadic rationals, thus eliminating the one possibility left open in recent work of Yoshikawa. It follows that the examples given by Cappell and Fox provide a complete list of metabelian $2$-knot groups.
References
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Bibliographic Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 96 (1986), 372-374
  • MSC: Primary 57Q45
  • DOI: https://doi.org/10.1090/S0002-9939-1986-0818474-3
  • MathSciNet review: 818474