Is there a possibility to get the simple $R[G]$-modules, if $R$ is the ring $\mathbb{Z}/n\mathbb{Z}$, $G$ a finite group and $\operatorname{ord}(G)$ and $n$ are relatively prime? For which groups would their number be finite?
I could solve this just for special $n$, but not in general. Maybe there is some literature where one can find examples for special groups?
Thanks and best regards.
Edit: Can one solve this maybe for $n$ a power of a prime?