Prove that ifH and K are subgroups of a group G with operation *, Question 8. then HNK is a subgroup of G.
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- Find a subset of Z that is closed under addition but is not subgroup of the additive group Z.Let be a subgroup of a group with . Prove that if and only ifLet H and K be subgroups of a group G and K a subgroup of H. If the order of G is 24 and the order of K is 3, what are all the possible orders of H?