Let G=U(18) and H={1,17} be a subgroup of G. The number of distinct left cosets of H in G is: * O 5 4 O 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Sunyroups OI oruers 1u, 10 dliu 2U LIIEN ti le
order of G is: *
30
60
90
80
Let G=U(18) and H={1,17} be a subgroup of
G. The number of distinct left cosets of H in
G is: *
4
O 2
Consider the following permutations in S7:
(1 2 3
l6 2 4 1 7 5 3) A P=\4 3 2
The order of B is
4 5 6
(1 2 3
4 5
a =
B =
7 1 5
Transcribed Image Text:Sunyroups OI oruers 1u, 10 dliu 2U LIIEN ti le order of G is: * 30 60 90 80 Let G=U(18) and H={1,17} be a subgroup of G. The number of distinct left cosets of H in G is: * 4 O 2 Consider the following permutations in S7: (1 2 3 l6 2 4 1 7 5 3) A P=\4 3 2 The order of B is 4 5 6 (1 2 3 4 5 a = B = 7 1 5
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