The Galois group of x\power{n}-1 over any field of   characteristic zero is abelian.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.3: The Characteristic Of A Ring
Problem 8E: 8. Prove that the characteristic of a field is either 0 or a prime.
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The Galois group of x\power{n}-1 over any field of 
 characteristic zero is abelian.
 

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