Let K be a subfield of the real numbers and K x an irreducible quartic If f has exactly two real roots, the Galois group off is S 4 or D 4 ...

Let F be the splitting field of f over K Since f is irreducible and has degree 4 over K we know that ...

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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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Apr 20, 2023 02:52 AM

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Let K be a subfield of the real numbers and K[x] an irreducible quartic. If

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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

Algebra Graduate Texts In Mathematics 73

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