is H=(1,2,3) a subgroup of G=(1,2,3,4,5,6) under multiplication modulo 7? justify answer
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Answer:(c) can not be a subgroup as identity
′
1
′
is not present
(d) can not be a subgroup of 2⊗
7
3=6
ϵ{1,2,3}
(a) can not be a subgroup as 2⊗
7
6=5
ϵ{2,6,1}
∴ (b) is a subgroup
Step-by-step explanation:
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