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be a field and let n be a positive integer. Then There exists a primitive nth root of unity in some extension K of F if and only if either characteristic of F zero or not a divisor of

be a field and let n be a positive integer. Then There exists a primitive nth root of unity in some extension K of F if and only if either characteristic of F zero or not a divisor of

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.2: Divisibility And Greatest Common Divisor
Problem 2TFE
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Let F be a field and let n be a positive integer. Then There exists a primitive nth root of unity in some extension K of F if and only if either characteristic of F zero or not a divisor of n.
Transcribed Image Text:Let F be a field and let n be a positive integer. Then There exists a primitive nth root of unity in some extension K of F if and only if either characteristic of F zero or not a divisor of n.
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