Home
Resource
Coarse geometry of Out(A1 * ... * An)
PDF
PDF format is widely accepted and good for printing.
Plug-in required
PDF-1(580.06 kb)
Citation & Export
View Usage Statistics
Staff View

Citation & Export
Hide

Simple citation

Das, Saikat. Coarse geometry of Out(A1 * ... * An). Retrieved from https://doi.org/doi:10.7282/t3-jwy0-bd33

Export

Click here for information about Citation Management Tools at Rutgers.

Statistics
Hide

Description

TitleCoarse geometry of Out(A1 * ... * An)
NameDas, Saikat (author); Mosher, Lee (chair); Feighn, Mark (internal member); Oertel, Ulrich (internal member); Behrstock, Jason (outside member); Rutgers University; Graduate School - Newark
Date Created2019
Other Date2019-05 (degree)
SubjectGeometric group theory, Mathematical Sciences
Extent1 online resource (vii, 113 pages) : illustrations
DescriptionIn this thesis we have examined ?n := Out(Gn) from the perspective of geometric group theory, where Gn = A1 ? ... ? An, is a finite free product and each Ai is a finite group. We wanted to inspect hyperbolicity and relative hyperbolicity of such groups. We used the Out(Gn) action on the Guirardel-Levitt deformation space to find a virtual generating set and prove quasi isometric embedding of a large class of subgroups. To prove non-distortion we used arguments similar to those used by Handel-Mosher and Alibegovi?. We used these subgroups to prove that ?n is thick in higher complexities. Behrstock-Dru?u-Mosher showed that thickness implies that the groups are non relatively hyperbolic for higher complexities.
NotePh.D.
NoteIncludes bibliographical references
Genretheses, ETD doctoral
Persistent URLhttps://doi.org/doi:10.7282/t3-jwy0-bd33
LanguageEnglish
CollectionGraduate School - Newark Electronic Theses and Dissertations
Organization NameRutgers, The State University of New Jersey
RightsThe author owns the copyright to this work.
Version 8.5.5
Rutgers University Libraries - Copyright ©2024