Denote G = (Q, +) as the group of rational numbers with addition. Answer the following questions: (1). Prove G is not a cyclic group. (2). Consider A, B as two nontrivial subgroups of G. Is A ∩ B also nontrivial? (3). Prove that for any a,b ∈ G, there exist h ∈ G such that a,b ∈ .

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