Proof that If L and M are intermediate fields such that L is a finite dimensional Galois

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Proof that If L and M are intermediate fields such that L is a finite dimensional Galois extension of K, then LM is finite dimensional and Galois over M and Aut_MLM ≅ Aut_L∩ML.

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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 L and M are intermediate fields such that L is a finite dimensional Galois

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To prove that LM is a finitedimensional Galois extension of M we need to show that it is both separa...View the full answer

Algebra Graduate Texts In Mathematics 73

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