11
$\begingroup$

I need help with the following problem:

Suppose $n$ is some positive integer, and $n|p-1$. Classify all irreducible representations of $$\mathbb{Z}/p\mathbb{Z}\rtimes \mathbb{Z}/n \mathbb{Z}.$$

I am not sure where to start,

Thank you in advance!!

  • 0
    Start by constructing many representations. For example, $\mathbb{Z}/n\mathbb{Z}$ is a quotient of your group, and its representations are well-known.2011-05-11
  • 2
    Also, you did not state which action is implied for the semi-direct product.2011-05-11

3 Answers 3