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Let a = e and consider the set U18 = {1, a, a²,..., ¹7). Give the elements of U18 (as powers of a) that are primitive nth roots of unity for the following n. a.) n = 9 b.) n = 18

Let a = e and consider the set U18 = {1, a, a²,..., ¹7). Give the elements of U18 (as powers of a) that are primitive nth roots of unity for the following n. a.) n = 9 b.) n = 18

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.4: Maximal Ideals (optional)
Problem 7E
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πi Let a = e and consider the set U₁8 = {1, a, a²,..., a¹7}. Give the elements of U18 (as powers of a) that are primitive nth roots of unity for the following n. a.) n = 9 b.) n = 18
Transcribed Image Text:πi Let a = e and consider the set U₁8 = {1, a, a²,..., a¹7}. Give the elements of U18 (as powers of a) that are primitive nth roots of unity for the following n. a.) n = 9 b.) n = 18
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