Stability under powers of minset of hyperbolic irreducible automorphism

Update Item Information
Title Stability under powers of minset of hyperbolic irreducible automorphism
Publication Type dissertation
School or College College of Science
Department Mathematics
Author Leibman, Sonya
Date 2014-08
Description We show that in Outer Space, the minset of the displacement function of a hyperbolic irreducible automorphism eventually stabilizes under further powers if and only if no train track representative of the automorphism has a Pre-Nielsen Path. We then analyze what automorphisms of dierent ranks and indices have stable minsets, showing that almost every index of automorphism has examples with an eventually stable and never stable minset.
Type Text
Publisher University of Utah
Subject Geometric group theory; Minset; Outer space
Dissertation Institution University of Utah
Dissertation Name Doctor of Philosophy
Language eng
Rights Management Copyright © Sonya Leibman 2014
Format application/pdf
Format Medium application/pdf
Format Extent 579,005 bytes
Identifier etd3/id/3175
ARK ark:/87278/s6qg2247
Setname ir_etd
ID 196741
Reference URL https://collections.lib.utah.edu/ark:/87278/s6qg2247
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