For each of the following group H is a normal subgroup, write
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Problem 1RQ
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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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