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A recognition theorem for polynomial growth outer automorphisms of the free group
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Fein, Gregory MacLean Schinke. A recognition theorem for polynomial growth outer automorphisms of the free group. Retrieved from https://doi.org/doi:10.7282/T3930RSB

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TitleA recognition theorem for polynomial growth outer automorphisms of the free group
NameFein, Gregory MacLean Schinke (author); Feighn, Mark (chair); Mosher, Lee (internal member); Oertel, Ulrich (internal member); Handel, Michael (outside member); Rutgers University; Graduate School - Newark
Date Created2013
Other Date2013-05 (degree)
SubjectMathematical Sciences, Automorphisms, Polynomials
Extentvi, 81 p. : ill.
DescriptionFeighn and Handel’s recognition theorem for Out(F_n) provides invariants that canonically determine any forward rotationless outer automorphism of the free group. We ask to what extent those invariants can be extended to outer automorphisms with some periodic behavior. Many of the same constructions do not have natural analogs, in particular because of the possible lack of principal representatives in this setting. However, by restricting our attention to polynomial growth outer automorphisms and using train track technology, we are able to find a special set of lines in the free group that encode all the dynamical information of these non-forward rotationless maps.
NotePh.D.
NoteIncludes bibliographical references
NoteIncludes vita
Noteby By Gregory MacLean Schinke Fein
Genretheses, ETD doctoral
Persistent URLhttps://doi.org/doi:10.7282/T3930RSB
Languageeng
CollectionGraduate School - Newark Electronic Theses and Dissertations
Organization NameRutgers, The State University of New Jersey
RightsThe author owns the copyright to this work.
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