论文标题

主要块中的$ P'U- $ - 角色学位的组

Groups with few $p'$-character degrees in the principal block

论文作者

Giannelli, Eugenio, Rizo, Noelia, Sambale, Benjamin, Fry, A. A. Schaeffer

论文摘要

令P为大于3的素数,让G为有限的组。我们证明,如果最多有两个不同的字符度相对较高,则最多可在p长度的p长度p长度。

Let p be a prime larger than 3 and let G be a finite group. We prove that G is p-solvable of p-length at most 2 if there are at most two distinct character degrees relatively prime to p in the principal p-block of G. This generalizes a theorem of Isaacs-Smith, as well as a recent result of three of the present authors.

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