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12.40 (1992)

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Let $\varphi$ be an irreducible $p$-modular character of a finite group $G$. Find the best-possible estimate of the form $\varphi(1)_p \leqslant f(\lvert G \rvert_p)$. Here $n_p$ is the $p$-part of a positive integer $n$.

Contributor: A. S. Kondratiev

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