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2 I am solving Allufi chapter $0$ exercise $3.7$ . There is a easy way to solve this if we know how the coproduct of $Bbb Z ast Bbb Z$ and $C_2 ast C_3$ . I was wondering if there is an abstract approach to solving this without knowing information about the groups. abstract-algebra group-theory category-theory group-homomorphism free-product share | cite | improve this question edited Dec 8 at 22:38 Batominovski 33.7k 3 32 92 asked Dec 8 at 21:40 Newbie 426 2 11 ...