Abstract
In this chapter, we develop the machinery of Galois theory. The first four sections constitute the technical heart of Galois theory, and Section 5 presents the fundamental theorem and some consequences. As an application, we give a proof of the fundamental theorem of algebra using Galois theory and the Sylow theorems of group theory.
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© 1996 Springer-Verlag New York, Inc.
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Morandi, P. (1996). Galois Theory. In: Field and Galois Theory. Graduate Texts in Mathematics, vol 167. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4040-2_1
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DOI: https://doi.org/10.1007/978-1-4612-4040-2_1
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-8475-8
Online ISBN: 978-1-4612-4040-2
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