Exercise 12, We identify S, with the sulgreup { 1,2,3} f Sy. Denode by v the four-subgroup (a) Prove that V ise horgmal (6) Prove that S, V = S, . (c) Prove that Sy 1 2 3 4 ef Sq . Guljromp of Su.

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 19E: 19. With and as in Exercise 18, prove that is a subgroup of . Exercise18: 18. If is a...
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Exercise 12,
We identify Sg with the sulgreup
{ 12,3| f Sq. Dende by V the
four-subgroup
(a) Prove that V is e nomnal sulgroup of Sq
(6) Prove that S, V = S, .
(e) Prove that Sy e S3
(d) How m
contain V ?
1 2 3 4
ef Sq .
itud selgrvaps of Sy do
Transcribed Image Text:Exercise 12, We identify Sg with the sulgreup { 12,3| f Sq. Dende by V the four-subgroup (a) Prove that V is e nomnal sulgroup of Sq (6) Prove that S, V = S, . (e) Prove that Sy e S3 (d) How m contain V ? 1 2 3 4 ef Sq . itud selgrvaps of Sy do
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