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Master's Dissertation
DOI
https://doi.org/10.11606/D.55.2009.tde-20052009-163236
Document
Author
Full name
Marcos Goulart Lima
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2009
Supervisor
Committee
Levcovitz, Daniel (President)
Martin, Paulo Agozzini
Tengan, Eduardo
Title in Portuguese
Teoria algébrica de números e o grupo de Galois
Keywords in Portuguese
Galois
Teoria algébrica de números
Abstract in Portuguese
Nessa dissertação provamos que se n é um inteiro par ou primo, então o Grupo de Galois de 'x POT.n' - 'x POT.n - 1"...- x - 1 é o grupo simétrico 'S IND.n'. Essa família de polinômios surge naturalmente de uma generalização da sequência de Fibonacci
Title in English
The Galois group of de 'x POT.n- 'x POT. n-1 - ...x-1
Keywords in English
Algebraic theory of numbers
Galois
Abstract in English
In this dissertation we prove that if n is even integer or a prime number, then the Galois Group of 'x POT.n' - 'x POT. n -1' ... - x - 1 is the symmetric group 'S IND.n'. This polynomial family arises quite naturally from a kind of generalized Fibonacci sequence
 
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Publishing Date
2009-05-20
 
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