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No. The Baumslag solitar groups $\langle a, b | ab^m a^{-1} = b^n \rangle$ are not 3-manifold groups when $m \neq n$. See Heil, Wolfgang H. Some finitely presented non-$3$-manifold groups. Proc. Amer. Math. Soc. 53 (1975), no. 2, 497--500. (See also Peter Shalen, Three-Manifolds and Baumslag-Solitar groups Topology Appl. 110 (2001), 113--118) |
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No. The Baumslag solitar groups $\langle a, b | ab^m a^{-1} = b^n \rangle$ are not 3-manifold groups when $m \neq n$. See Heil, Wolfgang H. Some finitely presented non-$3$-manifold groups. Proc. Amer. Math. Soc. 53 (1975), no. 2, 497--500. |
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