Proof that If E is an intermediate field of the extension such that E is Galois over

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Proof that If E is an intermediate field of the extension such that E is Galois over K, F is Galois over E, and every σ ϵ Aut_KE is extendible to F, then F is Galois over K.

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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 16, 2023 03:50 AM

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Proof that If E is an intermediate field of the extension such that E is Galois over

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To prove tha t F is Galois over K we need to show that F is a normal and separable extension of K ...View the full answer

Algebra Graduate Texts In Mathematics 73

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