Answered: Find all normal subgroups of G where(a)…

Find all normal subgroups of G where(a) G = S3, (b) G = D4, the group of symmetries of the square, (c) G = Q4, the quaternion group

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.5: Normal Subgroups

Problem 12E: 12. Find all normal subgroups of the quaternion group.

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Question

Find all normal subgroups of G where
(a) G = S₃,

(b) G = D₄, the group of symmetries of the square,

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