Some finitely presented non-$3$-manifold groups
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- by Wolfgang H. Heil
- Proc. Amer. Math. Soc. 53 (1975), 497-500
- DOI: https://doi.org/10.1090/S0002-9939-1975-0438320-2
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Abstract:
For every pair of integers $(m,n)$, G. Baumslag and D. Solitar exhibited two-generator one-relator groups ${G_{m,n}}$ that are not residually finite or Hopfian. It is shown that these groups do not provide counterexamples to the conjecture that $3$-manifold groups are residually finite (or at least Hopfian) by showing that they have subgroups which are not $3$-manifold groups.References
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Bibliographic Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 53 (1975), 497-500
- MSC: Primary 55A05; Secondary 57A10
- DOI: https://doi.org/10.1090/S0002-9939-1975-0438320-2
- MathSciNet review: 0438320