  Let $\mathbb F_q$ be a finite field with $q$ elements, $G$ a finite cyclic
group of order $p^k$ and $p$ is an odd prime with ${\rm gcd}(q,p)=1$. In this
article, we determine an explicit expression for the primitive idempotents of
$\mathbb F_qG$.
  This result extends the result in Arora-Pruthi [1] and
Sharma-Bakshi-Dumir-Raka [8].
