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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Some finitely presented non-$ 3$-manifold groups


Author: Wolfgang H. Heil
Journal: Proc. Amer. Math. Soc. 53 (1975), 497-500
MSC: Primary 55A05; Secondary 57A10
MathSciNet review: 0438320
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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.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1975-0438320-2
PII: S 0002-9939(1975)0438320-2
Article copyright: © Copyright 1975 American Mathematical Society