e 2πik/n (1 ≤ k ≤ n) is a group under multiplication.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.4: Cyclic Groups
Problem 20E: Consider the group U9 of all units in 9. Given that U9 is a cyclic group under multiplication, find...
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The set of all nth roots of unity, namely e 2πik/n (1 ≤ k ≤ n) is a group under multiplication.Prove

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