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21.135 (2026)

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For a finite group $G$, let $\chi_1(G)$ denote the totality of the degrees of all irreducible complex characters of $G$ with allowance for their multiplicities. Suppose that $H$ is a finite group with $\chi_1(H) = \chi_1(G)$. If $G$ has trivial solvable radical, must $H$ also have trivial solvable radical?

Contributor: A. V. Vasil’ev

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