Question: Determine whether the binary operation * gives a group structure on the given set. If no group results, give the first axiom in the order

Determine whether the binary operation * gives a group structure on the given set. If no group results, give the first axiom in the order G1, G2, G3 from Definition 4.1 that does not hold.

Let* be defined on 2Z = {2n | n E Z} by letting a * b = a + b.

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