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Jul 9, 2010 at 7:36 comment added Victor Protsak Yes, this works for $GL(n,p),$ but the representations you'll get will be more special (i.e. they will not look like "typical" representations of this group). I think Kirillov's "Elements of representation theory" describes Mackey theory, but this may be worth a separate MO question: I remember scratching my head trying to come up with a good reference. For this specific question, David's answer really walks you through the procedure without mentioning the big theorems that justify it in general.
Jul 9, 2010 at 6:05 comment added Klim Efremenko Thanks, This answers my question about GL(2,p). Does the same works for GL(n,p)? Where can I read about Mackey theory for finite groups?
Jul 9, 2010 at 5:41 vote accept Klim Efremenko
Jul 8, 2010 at 17:30 comment added Victor Protsak Phew! Sudden power loss just a second after posting.
Jul 8, 2010 at 17:23 history answered Victor Protsak CC BY-SA 2.5