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For each of the following group H is a normal subgroup, write

For each of the following group H is a normal subgroup, write

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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For each of the following groups G, determine whether H is a normal subgroup of G. If H is a normal subgroup, write out a Cayley table for the factor group G/H. 1. (a) G = S4 and H = A4 (b) G = A5 and H = {(1), (123), (132)} (c) G = SĄ and H = D4 (d) G = Qs and H = {1, –1, I, –I} (e) G = Z and H = 5Z
Transcribed Image Text:For each of the following groups G, determine whether H is a normal subgroup of G. If H is a normal subgroup, write out a Cayley table for the factor group G/H. 1. (a) G = S4 and H = A4 (b) G = A5 and H = {(1), (123), (132)} (c) G = SĄ and H = D4 (d) G = Qs and H = {1, –1, I, –I} (e) G = Z and H = 5Z
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