Elementary surgery manifolds and the elementary ideals
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- by J. P. Neuzil PDF
- Proc. Amer. Math. Soc. 68 (1978), 225-228 Request permission
Abstract:
We prove the following: If ${M^3}$ is a closed 3-manifold obtained by elementary surgery on a knot K in ${S^3}$ and ${H_1}({M^3})$ is a nontrivial cyclic group, then the first elementary ideal ${\pi _1}({M^3})$ in the integral group ring of ${H_1}({M^3})$ is the principal ideal generated by the polynomial of K.References
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Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 68 (1978), 225-228
- MSC: Primary 55A25; Secondary 57A10
- DOI: https://doi.org/10.1090/S0002-9939-1978-0464216-9
- MathSciNet review: 0464216