Let be an (irreducible) separable quartic over K and u a root of . There is
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Let ∫ be an (irreducible) separable quartic over K and u a root of ∫. There is no field properly between K and K(u) if and only if the Galois group of ∫ is either A4 or S4.
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This is the statement of the Kleins criterion for solvability by radicals Heres a proof of the forwa...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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