5. List the left and right cosets of the subgroups in each of the following. a. (8) in Z24 b. (3) in U (8) c. 3Z in Z d. A4 in S4

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.4: Cyclic Groups
Problem 8E: Exercises 8. Let be an element of order in a group. Find the order of each of the following. a. ...
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5. List the left and right cosets of the subgroups in each of the following.
a. (8) in Z24
b. (3) in U (8)
c.
32 in Z
d. A4 in S4
f. D4 in S4
h.
e. An in Sn
9. Tin C*
H = {(1), (123), (132)} in
S4
Transcribed Image Text:5. List the left and right cosets of the subgroups in each of the following. a. (8) in Z24 b. (3) in U (8) c. 32 in Z d. A4 in S4 f. D4 in S4 h. e. An in Sn 9. Tin C* H = {(1), (123), (132)} in S4
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