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2. (bonus) Let G1, G2,,Gt be groups (t2 and |G| 2 for each i) and suppose that G is infinite Prove that Gx G2

2. (bonus) Let G1, G2,,Gt be groups (t2 and |G| 2 for each i) and suppose that G is infinite Prove that Gx G2 x x G is never cyclic.

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