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Indicate the eight elements of the group 4 14 = = {z E C such that z₁ = 1}, the 4th root of unity on the circle (C1-2)shown below. Also list the elements of the group.

Indicate the eight elements of the group 4 14 = = {z E C such that z₁ = 1}, the 4th root of unity on the circle (C1-2)shown below. Also list the elements of the group.

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.6: Quotient Groups
Problem 11E: Find all homomorphic images of the quaternion group.
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Indicate the eight elements of the group 4 14 = = {z E C such that z₁ = 1}, the 4th root of unity on the circle (C1-2)shown below. Also list the elements of the group.
Transcribed Image Text:Indicate the eight elements of the group 4 14 = = {z E C such that z₁ = 1}, the 4th root of unity on the circle (C1-2)shown below. Also list the elements of the group.
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