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
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.