Boundaries of Relatively Hyperbolic Groups
thesis
posted on 2024-08-01, 00:00 authored by Aaron MesserlaBoundaries of relatively hyperbolic groups are useful invariants that have been studied extensively. This work uses the boundary to show that a certain class of groups is closed under quasi-isometry, and shows that there is not generic behavior of the boundary of a free group with a random cyclic peripheral structure.
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Advisor
Daniel GrovesDepartment
Mathematics, Statistics, and Computer ScienceDegree Grantor
University of Illinois ChicagoDegree Level
- Doctoral
Degree name
Doctor of PhilosophyCommittee Member
A l e x a n d e r F u r m a n , W o u t e r V a n L i m b e e k , K e v i n W h y t e , C h r i s H r u s k aThesis type
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