Show simple item record

dc.contributor.advisorReid, Alan W.en
dc.creatorGirão, Darlan Rabeloen
dc.date.accessioned2012-02-01T20:06:50Zen
dc.date.available2012-02-01T20:06:50Zen
dc.date.issued2011-12en
dc.date.submittedDecember 2011en
dc.identifier.urihttp://hdl.handle.net/2152/ETD-UT-2011-12-4673en
dc.descriptiontexten
dc.description.abstractThis dissertation provides the first known examples of finite co-volume Kleinian groups which have co- final towers of finite index subgroups with positive rank gradient. We prove that if the fundamental group of an orientable finite volume hyperbolic 3-manifold has fi nite index in the reflection group of a right-angled ideal polyhedron in H^3 then it has a co-fi nal tower of fi nite sheeted covers with positive rank gradient. The manifolds we provide are also known to have co- final towers of covers with zero rank gradient. We also prove that the reflection groups of compact right-angled hyperbolic polyhedra satisfying mild conditions have co-fi nal towers of fi nite sheeted covers with positive rank gradient.en
dc.format.mimetypeapplication/pdfen
dc.language.isoengen
dc.subjectHyperbolic manifoldsen
dc.subjectRank of fundamental groupsen
dc.subjectRight-angled polyhedraen
dc.titleRank gradient in co-final towers of certain Kleinian groupsen
dc.date.updated2012-02-01T20:06:59Zen
dc.identifier.slug2152/ETD-UT-2011-12-4673en
dc.contributor.committeeMemberGordon, Cameronen
dc.contributor.committeeMemberLuecke, Johnen
dc.contributor.committeeMemberNamazi, Hosseinen
dc.contributor.committeeMemberBajaj, Chandrajiten
dc.description.departmentMathematicsen
dc.type.genrethesisen
thesis.degree.departmentMathematicsen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorUniversity of Texas at Austinen
thesis.degree.levelDoctoralen
thesis.degree.nameDoctor of Philosophyen


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record