Master's Dissertation
DOI
https://doi.org/10.11606/D.55.2012.tde-05122012-102820
Document
Author
Full name
Luan Alberto Ferreira
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2012
Supervisor
Committee
Manzoli Neto, Oziride (President)
Hernandes, Marcelo Escudeiro
Levcovitz, Daniel
Hernandes, Marcelo Escudeiro
Levcovitz, Daniel
Title in Portuguese
Teoria de corpos de classe e aplicações
Keywords in Portuguese
Corpos ciclotômicos
Extensões abelianas
Problema inverso de Galois
Teoria algébrica dos números
Teoria de corpos de classe
Extensões abelianas
Problema inverso de Galois
Teoria algébrica dos números
Teoria de corpos de classe
Abstract in Portuguese
Neste projeto, propomos estudar a chamada "Teoria de Corpos de Classe," que oferece uma descrição simples das extensões abelianas de corpos locais e globais, bem como algumas de suas aplicações, como os teoremas de Kronecker-Weber e Scholz-Reichardt
Title in English
Class field theory and applications
Keywords in English
Abelian extensions
Algebraic number theory
Class field theory
Cyclotomic fields
Inverse Galois problem
Algebraic number theory
Class field theory
Cyclotomic fields
Inverse Galois problem
Abstract in English
In this work, we study the so called "Class Field Theory", which give us a simple description of the abelian extension of local and global elds. We also study some applications, like the Kronecker-Weber and Scholz-Reichardt theorems
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Publishing Date
2012-12-05
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