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11.97 (1990)

Solved

Are there only finitely many finite simple groups with a given set of all different values of irreducible characters on a single element?

Contributor: S. P. Strunkov

Progress

No; all complex irreducible characters of the groups $L_2(2^m), m \geqslant 2$, take the values $0, \pm 1$ on involutions (V. D. Mazurov).

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