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

Simple item page
dc.creatorMyers, Robert
dc.date2006-05-17
dc.date2006-05-18
dc.date.accessioned2026-07-07T07:14:22Z
dc.date.available2026-07-07T07:14:22Z
dc.descriptionThis 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.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/math/0605493
dc.identifierhttp://arxiv.org/abs/math/0605493
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112844
dc.subjectGeometric Topology
dc.subjectGroup Theory
dc.subject57N10, 57M05
dc.titleOn embedding the fundamental group of a 3-manifold in one of its knot groups
dc.typetext

Files

Collections

arXiv