Find the splitting field K in C of the polynomial (x 4 - 4x - 1)

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Find the splitting field K in C of the polynomial (x⁴ - 4x² - 1) ∈ Q[x]. Compute the group of the polynomial over Q and exhibit the correspondence between the subgroups of G(K/Q) and the intermediate fields. In other words, do the complete job.

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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Posted: Jan 16, 2023 02:51 AM

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Find the splitting field K in C of the polynomial (x 4 - 4x - 1)

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The group is isomorphic to D 4 and the notation here is chosen to coincide with the notation used in ...View the full answer

A First Course In Abstract Algebra

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