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Doctoral Thesis
DOI
https://doi.org/10.11606/T.45.2016.tde-20230727-113400
Document
Author
Full name
Marcel Vinhas Bertolini
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2016
Supervisor
Title in Portuguese
Group representations and real trees
Keywords in Portuguese
Clusters
Espaços Topológicos
Teoria Da Representação
Abstract in Portuguese
Nesta tese é provado que certas seqüências de ações isométricas hiperbólicas do grupo livre em um número infinito, enumerável, de geradores, ou convergem, ou divergem para uma ação isométrica do grupo em uma árvore real. Isto aponta para uma generalização do Teorema de W. Thurston de Hiperbolização de Suspensões Compactas para monodromias pseudo-Anosov generalizadas.
Title in English
Representações de grupos e árvores reais
Abstract in English
In this thesis we stablish that certain sequences of isometric hyperbolic actions of the free group on an innite, countable, number of generators, either converge, or diverge to an isometric action of the group on a real tree. This points towards a generalization of W. Thurston's Theorem of Hyperbolization of Compact Mapping Tori for generalized pseudo-Anosov monodromies
 
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Publishing Date
2023-07-27
 
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