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Hi, I am wondering if anything is known about irreducible representations of a semidirect product over $C_p:=\mathbb{Z} / p \mathbb{Z}$ in general or at least in special cases. For example of $C_q \rtimes C_l$ over $C_p$, where $p,q,l$ are some primes. Is there any well-known literature? Thank you for hints! |
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Look at Weintraub "Representation theory ... " for Mackey Machine (pg 120 or so). Edit in response to http://mathoverflow.net/questions/104087/mackey-maschine-for-semidirect-product. The reference does not give a solution to the problem, but studying the Mackey machine/Clifford theory seems like the right starting point for a semidirect product. |
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