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Galois Theory by Christopher Cooper
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by Christopher Cooper
Publisher: Macquarie University 2009
Number of pages: 86
This text follows the usual path through to Galois groups, but just for subfields of the complex numbers. It takes as its goal the insolubility of polynomials by radicals. This is as far as we normally reach, though there is an additional chapter that gives an algebraic proof of the Fundamental Theorem of Algebra, using Sylow theory.