Grupo de Brauer e o teorema de Merkurjev-Suslin

Camargo, Gilberto Luiz Angelice de

doi:10.11606/D.55.2013.tde-10122013-084501

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Master's Dissertation

DOI

https://doi.org/10.11606/D.55.2013.tde-10122013-084501

Document

Master's Dissertation

Author

Camargo, Gilberto Luiz Angelice de (Catálogo USP)

Full name

Gilberto Luiz Angelice de Camargo

E-mail

Institute/School/College

Instituto de Ciências Matemáticas e de Computação

Knowledge Area

Mathematics

Date of Defense

2013-05-28

Published

São Carlos, 2013

Supervisor

Tengan, Eduardo (Catálogo USP)

Committee

Tengan, Eduardo (President)
Levcovitz, Daniel
Martin, Paulo Agozzini

Title in Portuguese

Grupo de Brauer e o teorema de Merkurjev-Suslin

Keywords in Portuguese

Grupo de Brauer

Abstract in Portuguese

Neste trabalho mostramos o importante teorema de Merkurjev- Suslin para o caso de 2-torção, seguindo o artigo [Mer06], que afirma que, para qualquer corpo F de característica diferente de 2, a 2-torção 'IND.2 Br'(F) do grupo de Brauer de F é gerada pelas classes de álgebras de quatérnions

Title in English

Brauer group and the Merkujev-Suslin theorem

Keywords in English

Brauer group

Abstract in English

In this work we show the important theorem of Merkurjev- Suslin for 2-torsion, following the paper [Mer06], which states that for any field F of characteristic not 2 the 2-torsion 'IND. 2 Br'(F) of the Brauer Group of F is generated by the quaternion algebra classes

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Publishing Date

2013-12-10

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