On embedding the fundamental group of a 3-manifold in one of its knot groups

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This paper gives necessary and sufficient conditions on a compact, connected, orientable 3-manifold M for it to contain a knot K such that M-K is irreducible and pi_1(M) embeds in pi_1(M-K). This result provides counterexamples to a conjecture of Lopes and Morales and characterizes those orientable 3-manifolds for which it is true.
6 pages

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Geometric Topology, Group Theory, 57N10, 57M05

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http://salesiana.dossiersoluciones.com/handle/123456789/112844

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0605493
 http://arxiv.org/abs/math/0605493

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arXiv