If $P$ is a group of order $p$ and $K$ is a field of characteristic $p$, then how can I show that the trivial representation is the only irreducible representation of $P$? I have a feeling that I should be using eigenvalues somewhere, but am unsure how to proceed.
2026-03-28 13:28:05.1774704485
The irreducible representations of a $p$-group
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