Uma prova elementar do teorema de Kronecker-Weber

Tapia, Hector Edonis Pinedo

doi:10.11606/D.45.2009.tde-15062009-191529

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Master's Dissertation

DOI

https://doi.org/10.11606/D.45.2009.tde-15062009-191529

Document

Master's Dissertation

Author

Tapia, Hector Edonis Pinedo (Catálogo USP)

Full name

Hector Edonis Pinedo Tapia

E-mail

Institute/School/College

Instituto de Matemática e Estatística

Knowledge Area

Mathematics

Date of Defense

2009-03-06

Published

São Paulo, 2009

Supervisor

Martin, Paulo Agozzini (Catálogo USP)

Committee

Martin, Paulo Agozzini (President)
Bianconi, Ricardo
Levcovitz, Daniel

Title in Portuguese

Uma prova elementar do teorema de Kronecker-Weber

Keywords in Portuguese

corpo ciclotômico.
domínio de Dedekind
inteiro algébrico

Abstract in Portuguese

O teorema de Kronecker-Weber afirma que se K é uma extensão finita e galoisiana dos racionais com grupo de Galois abeliano, K tem que ser ciclotômica.

Title in English

An elementary proof of Kronecker-Weber theorem

Keywords in English

algebraic integer
ciclotomic field.
Dedekind domain

Abstract in English

The Kronecker-Weber theorem stablishes that, if K is a Galois finite extension of Q with Galois group abelian, then K is a ciclotomic field.

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Publishing Date

2009-07-06

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