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Master's Dissertation
DOI
10.11606/D.55.2009.tde-18052009-150619
Document
Author
Full name
Sávio da Silva Coutinho
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2009
Supervisor
Committee
Dias, Ires (President)
Brusamarello, Rosali
Tengan, Eduardo
Title in Portuguese
Sobre a existência ou não de bases normais auto-duais para extensões galoisianas de corpos
Keywords in Portuguese
Bases normais auto-duais
Extensões de corpos
Teoria de Galois
Abstract in Portuguese
Neste trabalho, apresentamos um estudo sobre a existência ou não de bases normais auto-duais para extensões galoisianas finitas de corpos, mostrando que toda extensão galoisiana finita de grau ímpar posui uma base normal auto-dual, enquanto que para extensões galoisianas de grau par, apresentamos algumas condições suficientes que garantem a não existência de bases normais auto-duais
Title in English
About the existence or not of self-dual normal bases for finite galosian extensions of fields
Keywords in English
Extensions of fields
Galois theory
Self-dual normal bases
Abstract in English
In this work, we present a study about the existence or not of self-dual normal bases for finite galoisian extensions of fields, showing that all the odd degree finite galoisian extension has a self-dual normal base, whereas for even degree galoisian extensions, we present some sufficient conditions that assure the non-existence of self-dual normal bases
 
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savio.pdf (304.20 Kbytes)
Publishing Date
2009-05-18
 
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