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Timeline for Modular representations

Current License: CC BY-SA 3.0

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Mar 1, 2017 at 13:03 comment added Dipendra Prasad know. I know for PGL(2,F_p), there is a unique irreducible rep'n with this property (of dim = p-1, a cuspidal representation) so your answer is best possible for the moment.
Mar 1, 2017 at 13:01 comment added Dipendra Prasad Thank you Nate for this beautiful argument. It answers my initial question for which group there are nontrivial irreducible representations whose reduction mod p contains the trivial representation. You answer says `always' if p divides the order of the group. This is what I was hoping to
Feb 28, 2017 at 19:04 history answered Nate CC BY-SA 3.0