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15.71 (2002)

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(B. Huppert). Let $G$ be a finite solvable group, and let $\rho(G)$ denote the set of prime divisors of the degrees of irreducible characters of $G$. Is it true that there always exists an irreducible character of $G$ whose degree is divisible by at least $|\rho(G)|/2$ different primes?

Contributor: P. P. Pálfy

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