Question

Asked Apr 25, 2019

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Abstract Algebra. Answer in detail please.

Step 1

An nth root of unity ε is an element such that ε^{n }= 1. It is said that ε is primitive if every nth root of unity is ε^{k} for some k. To show: There are primitive nth roots of unity

Step 2

As it is given ε is primitive and ε^{k} is the nth root of unity, by definition of nth root of unity we can say

Step 3

Denote the nth root of unity ε = &epsi...

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