2006 | OriginalPaper | Buchkapitel
The Roots of Unity
Erschienen in: Field Theory
Verlag: Springer New York
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Polynomials of the form
x
n
−
u
, where 0 ≠
u
∈
F
, are known as
binomials
. Even though binomials have a simple form, their study is quite involved, as is evidenced by the fact that the Galois group of a binomial is often nonabelian. As we will see, an understanding of the binomial
x
n
− 1 is key to an understanding of all binomials.