build an epimorphism

[azreal]

Hi,
i'm trying to construct an construct an epimorphism from \(\displaystyle S_3 \times \mathbb{Z} \rightarrow \mathbb{Z} \) but unfortunately i don't know how to start...

 

[HallsofIvy]

Hi,
i'm trying to construct an construct an epimorphism from \(\displaystyle S_3 \times \mathbb{Z} \rightarrow \mathbb{Z} \) but unfortunately i don't know how to start...

If you do not know what an "epimorphism" is, then it would be a good idea to look it up. And I suspect you do not because there is a fairly trivial example that satisfies this problem.