Timeline for Which finite groups have faithful complex irreducible representations?
Current License: CC BY-SA 3.0
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| Oct 27, 2021 at 17:00 | comment | added | David Roe | Thanks, this fixed a misapprehension of mine. I'll note that the smallest example of this phenomenon is $C_3 \rtimes S_3$, where $S_3$ acts nontrivially. | |
| Jan 29, 2012 at 20:35 | comment | added | Marty Isaacs | A handy sufficient condition is this: $G$ has a faithful irreducible complex representation if each Sylow subgroup of $G$ has a cyclic center. | |
| Apr 12, 2011 at 18:50 | history | answered | Rob Harron | CC BY-SA 3.0 |