Show that A4 is nolmal by finding a homomorphism whose kernel is A4.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.4: Cosets Of A Subgroup
Problem 18E: Let G be a group of finite order n. Prove that an=e for all a in G.
Question

Let G=S4, the symetric group of on 4 elem4nts.

h) Show that A4 is nolmal by finding a homomorphism whose kernel is A4.

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