Determine all the subgroups of the Galois group and all of the intermediate fields of the splitting
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Determine all the subgroups of the Galois group and all of the intermediate fields of the splitting field (over Q) of the polynomial (x3 - 2)(x2 - 3) ϵ Q[x]
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ANSWER Let fx x3 2x2 3 be the polynomial over Q The roots of fx are 2 2 and 3 and the splitting field of fx over Q is obtained by adjoining these root...View the full answer
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Related Book For 
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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