Abstract
Polynomials of the form xn − 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 xn − 1 is key to an understanding of all binomials.
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© 2006 Springer New York
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(2006). The Roots of Unity. In: Field Theory. Graduate Texts in Mathematics, vol 158. Springer, New York, NY. https://doi.org/10.1007/0-387-27678-5_12
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DOI: https://doi.org/10.1007/0-387-27678-5_12
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-27677-9
Online ISBN: 978-0-387-27678-6
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