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A recognition theorem for polynomial growth outer automorphisms of the free group
Descriptive
TitleInfo
Title
A recognition theorem for polynomial growth outer automorphisms of the free group
Name
(type = personal)
NamePart
(type = family)
Fein
NamePart
(type = given)
Gregory MacLean Schinke
NamePart
(type = date)
1984-
DisplayForm
Gregory Fein
Role
RoleTerm
(authority = RULIB)
author
Name
(type = personal)
NamePart
(type = family)
Feighn
NamePart
(type = given)
Mark
DisplayForm
Mark Feighn
Affiliation
Advisory Committee
Role
RoleTerm
(authority = RULIB)
chair
Name
(type = personal)
NamePart
(type = family)
Mosher
NamePart
(type = given)
Lee
DisplayForm
Lee Mosher
Affiliation
Advisory Committee
Role
RoleTerm
(authority = RULIB)
internal member
Name
(type = personal)
NamePart
(type = family)
Oertel
NamePart
(type = given)
Ulrich
DisplayForm
Ulrich Oertel
Affiliation
Advisory Committee
Role
RoleTerm
(authority = RULIB)
internal member
Name
(type = personal)
NamePart
(type = family)
Handel
NamePart
(type = given)
Michael
DisplayForm
Michael Handel
Affiliation
Advisory Committee
Role
RoleTerm
(authority = RULIB)
outside member
Name
(type = corporate)
NamePart
Rutgers University
Role
RoleTerm
(authority = RULIB)
degree grantor
Name
(type = corporate)
NamePart
Graduate School - Newark
Role
RoleTerm
(authority = RULIB)
school
TypeOfResource
Text
Genre
(authority = marcgt)
theses
OriginInfo
DateCreated
(qualifier = exact)
2013
DateOther
(qualifier = exact);
(type = degree)
2013-05
Place
PlaceTerm
(type = code)
xx
Language
LanguageTerm
(authority = ISO639-2b);
(type = code)
eng
Abstract
(type = abstract)
Feighn 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.
Subject
(authority = RUETD)
Topic
Mathematical Sciences
Subject
(authority = ETD-LCSH)
Topic
Automorphisms
RelatedItem
(type = host)
TitleInfo
Title
Rutgers University Electronic Theses and Dissertations
Identifier
(type = RULIB)
ETD
Identifier
ETD_4771
PhysicalDescription
Form
(authority = gmd)
electronic resource
InternetMediaType
application/pdf
InternetMediaType
text/xml
Extent
vi, 81 p. : ill.
Note
(type = degree)
Ph.D.
Note
(type = bibliography)
Includes bibliographical references
Note
(type = vita)
Includes vita
Note
(type = statement of responsibility)
by By Gregory MacLean Schinke Fein
Subject
(authority = ETD-LCSH)
Topic
Polynomials
Identifier
(type = hdl)
http://hdl.rutgers.edu/1782.1/rucore10002600001.ETD.000068667
RelatedItem
(type = host)
TitleInfo
Title
Graduate School - Newark Electronic Theses and Dissertations
Identifier
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rucore10002600001
Location
PhysicalLocation
(authority = marcorg);
(displayLabel = Rutgers, The State University of New Jersey)
NjNbRU
Identifier
(type = doi)
doi:10.7282/T3930RSB
Genre
(authority = ExL-Esploro)
ETD doctoral
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Rights
RightsDeclaration
(ID = rulibRdec0006)
The author owns the copyright to this work.
RightsHolder
(type = personal)
Name
FamilyName
Fein
GivenName
Gregory
Role
Copyright Holder
RightsEvent
Type
Permission or license
DateTime
(encoding = w3cdtf);
(qualifier = exact);
(point = start)
2013-04-30 00:30:08
AssociatedEntity
Name
Gregory Fein
Role
Copyright holder
Affiliation
Rutgers University. Graduate School - Newark
AssociatedObject
Type
License
Name
Author Agreement License
Detail
I hereby grant to the Rutgers University Libraries and to my school the non-exclusive right to archive, reproduce and distribute my thesis or dissertation, in whole or in part, and/or my abstract, in whole or in part, in and from an electronic format, subject to the release date subsequently stipulated in this submittal form and approved by my school. I represent and stipulate that the thesis or dissertation and its abstract are my original work, that they do not infringe or violate any rights of others, and that I make these grants as the sole owner of the rights to my thesis or dissertation and its abstract. I represent that I have obtained written permissions, when necessary, from the owner(s) of each third party copyrighted matter to be included in my thesis or dissertation and will supply copies of such upon request by my school. I acknowledge that RU ETD and my school will not distribute my thesis or dissertation or its abstract if, in their reasonable judgment, they believe all such rights have not been secured. I acknowledge that I retain ownership rights to the copyright of my work. I also retain the right to use all or part of this thesis or dissertation in future works, such as articles or books.
Copyright
Status
Copyright protected
Availability
Status
Open
Reason
Permission or license
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Technical
RULTechMD
(ID = TECHNICAL1)
ContentModel
ETD
OperatingSystem
(VERSION = 5.1)
windows xp
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