Which of the following groups are cyclic? For each cyclic group, list all the generators of the

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Which of the following groups are cyclic? For each cyclic group, list all the generators of the group.
G1 = (Z, +)  G2 = (Q, +)  G3 = ( Q+, ·)  G4 = (6Z, +) 

G5= {6n |n ∈ Z} under multiplication 

G6 = {a+ b.√2 |a, b ∈ Z} under addition

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