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
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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