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In the question

Classifying the irreducible representations of $\mathbb{Z}/p\mathbb{Z}\rtimes \mathbb{Z}/n \mathbb{Z}$

the author is talking about irreducible representations of a semi-direct product. Does he mean representations over $\mathbb{C}, \mathbb{Z}, \mathbb{F}_p, \ldots$? Or would the way to construct them be the same?

I'm not sure if it is allowed to re-ask a question. If not. I'm sorry.

Community
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guest
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    Over a field ofcharacteristic $p,$ the normal subgroup of order $p$ will act trivially, so you are looking at the irreducible representations of the cyclic group of order $n$. Over fields of other characteristics, one can proceed via Cliffords theorem in a reasonably uniform way, although when the characteristic divides $n$ the theory is a little different, but not too significantly. – Geoff Robinson Jul 17 '12 at 18:04
  • The old answer is talking about $\mathbb{C}$, though the ideas can be applied more generally. – Jack Schmidt Jul 17 '12 at 18:06
  • Are there more literature which refers to irred. representations of $\mathbb{Z}/p \mathbb{Z} \rtimes \mathbb{Z}/n \mathbb{Z}$ over $\mathbb{F}_q$ for a prime $q$? I could not find anything in the library. – guest Jul 17 '12 at 18:15
  • guest look up modular representation theory. – JSchlather Jul 17 '12 at 18:56

1 Answers1

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As Jack Schmidt said: "The old answer is talking about $\mathbb C$, though the ideas can be applied more generally."

(It seems this question has been answered in the comments; in order for the question to be marked as answered, I copied the answer above and made this CW.)

M Turgeon
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