Let K be a subfield of the real numbers and K[x] an irreducible quartic. If
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Let K be a subfield of the real numbers and ∫ ϵ K[x] an irreducible quartic. If f has exactly two real roots, the Galois group off is S4 or D4.
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Let F be the splitting field of f over K Since f is irreducible and has degree 4 over K we know that ...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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