Let T = {o E S4|0(3) = 3}. (a) Show that T is a subgroup of S4. (b) Prove that T= S3.
Let T = {o E S4|0(3) = 3}. (a) Show that T is a subgroup of S4. (b) Prove that T= S3.
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 35E: Show that An has index 2 in Sn, and thereby conclude that An is always a normal subgroup of Sn.
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