Thin Surface Subgroups in Non-uniform Arithmetic Lattices in SO+(n,1)

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dc.contributor.advisorReid, Alan W
dc.creatorEdelman-Munoz, Sara
dc.date.accessioned2024-05-22T15:42:27Z
dc.date.available2024-05-22T15:42:27Z
dc.date.created2024-05
dc.date.issued2024-04-17
dc.date.submittedMay 2024
dc.date.updated2024-05-22T15:42:27Z
dc.description.abstractIn this thesis I show that the fundamental groups of all non-compact, arithmetic, hyperbolic, n-manifolds for n $\geq$ 4 have thin surface subgroups. As a consequence of the proof of this theorem I show that the fundamental groups of the doubles of cusped, arithmetic, hyperbolic manifolds are GFERF.
dc.format.mimetypeapplication/pdf
dc.identifier.citationEdelman-Munoz, Sara. Thin Surface Subgroups in Non-uniform Arithmetic Lattices in SO+(n,1). (2024). https://hdl.handle.net/1911/116158
dc.identifier.urihttps://hdl.handle.net/1911/116158
dc.language.isoeng
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.
dc.subjectArithmetic groups
dc.subjectthin groups
dc.subjecthyperbolic geometry
dc.titleThin Surface Subgroups in Non-uniform Arithmetic Lattices in SO+(n,1)
dc.typeThesis
dc.type.materialText
thesis.degree.departmentMathematics
thesis.degree.disciplineNatural Sciences
thesis.degree.grantorRice University
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy
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