Indicate the eight elements of the group414 = = {z E C such that z₁ = 1}, the 4th rootof unity on the circle (C1-2)shown below. Also listthe elements of the group.

Answered: Indicate the eight elements of the…

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 9E: 9. Find all homomorphic images of the octic 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.