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Let G be a finite solvable group and ¡ a set of primes such that the degree of each irreducible character of G is either a ¡-number or a ¡0-number. We show that such groups have a very restricted structure, for example, their nilpotent length is at most 4. We also prove that Huppert's ^{ÿ Conjecture is valid for these groups.

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Authors: J. Surányi and P. Pálfy
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Authors: I. Fáry, E. Makai and P. Pálfy

In this column Periodica Mathematica Hungarica publishes current research problems whose proposers believe them to be within the reach of existing methods. Manuscripts should preferably contain the background of the problem and all references known to the author. The length of the manuscripts should not exceed two double-spaced type-written pages.

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