Height zero characters in principal blocks
Height zero characters in principal blocks
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DOI：
10.1016/j.jalgebra.2023.01.021
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发表时间：
2023-02
影响因子：
0.9
通讯作者：
N. Hung;A. A. Schaeffer Fry-A.;Carolina Vallejo
中科院分区：
文献类型：
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作者：
N. Hung;A. A. Schaeffer Fry-A.;Carolina Vallejo
我们证明了一个可被p整除的有限阶群的主p-块至少有2个p− 1高度为零的特征标。沿着，我们描述了有限群的p-局部结构，其主p-块最多有五个高度为零的普通不可约特征标。
We show that the principal p-block of a finite group of order divisible by p has at least 2 p− 1 height-zero characters. Along the way, we describe the p-local structure of finite groups whose principal p-blocks have at most five height-zero ordinary irreducible characters.