期刊论文

中文

数学年刊A辑(中文版)

1000-8314

2022

43

1

95-102

10.16205/j.cnki.cama.2022.0006

本校为第一机构

假设有限群上的块b被其亏群的正规化子控制,其超聚焦子群是16阶的初等交换群并且包含在亏群的中心里.本文计算了部分情况下块b的不可约模特征标和不可约常特征标个数.在这些情况下,Alperin重量猜想是对的.

The author assumes that a block b of a finite group is controlled by the normalizer of its defect group,and that its hyperfocal subgroup is the elementary abelian group of order16 and is contained in the center of the defect group.He calculates the numbers of irreducible Brauer characters and irreducible ordinary characters in this block in some cases.I...