Dummit and Foote Section 1.2 Dihedral Groups Exercise 15 reads as follows:

Find a set of generators and relations for $\displaystyle \mathbb{Z}$/n$\displaystyle \mathbb{Z}$

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If you particularize the problem to say $\displaystyle \mathbb{Z}$/4$\displaystyle \mathbb{Z}$ then 1 + 4$\displaystyle \mathbb{Z}$ is a generator and so is 3 + $\displaystyle \mathbb{Z}$.

But relations??? Are there any?

I guess then 1 + n$\displaystyle \mathbb{Z}$ is a generator for $\displaystyle \mathbb{Z}$/n$\displaystyle \mathbb{Z}$. Is that correct? Other generators? Relations???

Can someone please clarify and help?

Peter