Show that for a prime p, the splitting field over Q of x P - 1 is

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Show that for a prime p, the splitting field over Q of x^P - 1 is of degree p - 1 over Q.

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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 02:50 AM

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Show that for a prime p, the splitting field over Q of x P - 1 is

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We have x p x 1 x p1 x 1 and Corollary 2317 shows that the second of these factors the cyc...View the full answer

A First Course In Abstract Algebra

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