Some finitely presented non-3-manifold groups

Heil, Wolfgang H.

doi:10.1090/S0002-9939-1975-0438320-2

Some finitely presented non-$3$-manifold groups
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by Wolfgang H. Heil PDF

Proc. Amer. Math. Soc. 53 (1975), 497-500 Request permission

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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The structure of

manifold groups

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