Answer by Derek Holt for On the finite simple groups with an irreducible...
This is just to add some references to Geoff Robinson's answer for classifications of irreducible representations in low dimensions. These are all for quasisimple groups i.e. perfect groups $G$ for...
View ArticleAnswer by Geoff Robinson for On the finite simple groups with an irreducible...
I will write this an an answer, though the answer to the basic question is provided by one of the oldest results in finite group theory.There is a theorem of C. Jordan, proved in the 19th century, that...
View ArticleOn the finite simple groups with an irreducible complex representation of a...
This answer of Geoff Robinson shows that a finite simple group admits an irreducible complex representation (irrep) of dimension $3$ if and only if it is isomorphic to $A_5$ or...
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