Contemporary Abstract Algebra
Contemporary Abstract Algebra
9th Edition
ISBN: 9781305657960
Author: Joseph Gallian
Publisher: Cengage Learning
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Chapter 26, Problem 21E

In D 12 k x , y | x 2 = y 12 = e , x y x = y 1 , prove that the subgroup H = x , y 3 (which is isomorphic to D 4 ) is not a normal subgroup.

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