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21.91 (2026)

Open

(W. Willems). Conjecture: The sum of squares of the degrees of the irreducible $p$-Brauer characters of a finite group $G$ is at least the $p'$-part of $|G|$.

Contributor: G. Malle

Progress

This is known to be true for $p = 2$ (G. Malle, Adv. Math., 380 (2021), Paper no. 107609, 15 pp.).

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