Files in this item

FilesDescriptionFormat

application/pdf

application/pdfUYANIK-DISSERTATION-2017.pdf (712kB)
(no description provided)PDF

Description

Title:Dynamics of free group automorphisms and a subgroup alternative for out(fn)
Author(s):Uyanik, Caglar
Director of Research:Leininger, Christopher J; Kapovich, Ilya
Doctoral Committee Chair(s):Tyson, Jeremy
Doctoral Committee Member(s):Dunfield, Nathan
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):free groups, mapping class groups, pseudo-Anosov, fully irreducible, hyperbolic
Abstract:This thesis is motivated by a foundational result of Thurston which states that pseudo- Anosov mapping classes act on the compactified Teichmüller space with north-south dynamics. We prove that several analogues of pseudo-Anosov mapping classes in the Out(F_N) setting act on the space of projective geodesic currents with generalized north-south dynamics. As an application of our results, we prove several structural theorems for subgroups of Out(F_N ).
Issue Date:2017-06-26
Type:Thesis
URI:http://hdl.handle.net/2142/98133
Rights Information:Copyright 2017 Caglar Uyanik
Date Available in IDEALS:2017-09-29
Date Deposited:2017-08


This item appears in the following Collection(s)

Item Statistics