Finite covers of the infinite cyclic cover of a knot

Simple item page
dc.creatorButton, J. O.
dc.date2007-03-23
dc.date.accessioned2026-07-07T07:53:26Z
dc.date.available2026-07-07T07:53:26Z
dc.descriptionWe show that the commutator subgroup G' of a classical knot group G need not have subgroups of every finite index, but it will if G' has a surjective homomorphism to the integers and we give an exact criterion for that to happen. We also give an example of a smoothly knotted n-sphere in the (n+2)-sphere for all n at least 2 whose infinite cyclic cover is not simply connected but has no proper finite covers.
dc.identifierhttps://arxiv.org/abs/math/0703708
dc.identifierhttp://arxiv.org/abs/math/0703708
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126251
dc.subjectGeometric Topology
dc.subject57M25;57Q45
dc.titleFinite covers of the infinite cyclic cover of a knot
dc.typetext

Files

Collections

arXiv