Pro-p groups and towers of rational homology spheres

dc.creatorBoston, Nigel
dc.creatorEllenberg, Jordan S
dc.date2009-02-26
dc.date.accessioned2026-07-07T12:47:06Z
dc.date.available2026-07-07T12:47:06Z
dc.descriptionIn the preceding paper, Calegari and Dunfield exhibit a sequence of hyperbolic 3-manifolds which have increasing injectivity radius, and which, subject to some conjectures in number theory, are rational homology spheres. We prove unconditionally that these manifolds are rational homology spheres, and give a sufficient condition for a tower of hyperbolic 3-manifolds to have first Betti number 0 at each level. The methods involved are purely pro-p group theoretical.
dc.descriptionThis is the version published by Geometry & Topology on 2 April 2006
dc.identifierhttps://arxiv.org/abs/0902.4567
dc.identifierhttp://arxiv.org/abs/0902.4567
dc.identifierGeom. Topol. 10 (2006) 331-334
dc.identifierdoi:10.2140/gt.2006.10.331
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221605
dc.subjectGeometric Topology
dc.subjectNumber Theory
dc.subject20E18, 22E40
dc.titlePro-p groups and towers of rational homology spheres
dc.typetext

Files

Collections