相关于Brauer图的若干例子(英文)

Some Examples Related to the Brauer Graph

Brauer图对于刻画有限群的p-块是非常关键的.高零不可约(复)特征标在有限群模表示理论中的Brauer图中扮演着重要的角色.本文用若干例子阐述了关于高零不可约特征标的几个问题.

The Brauer graph is crucial to characterize the p-blocks of a finite group. And the irreducible （complex） characters of height zero play an important role in the Brauer graph in the modular representation theory of finite groups. We solve some questions about irreducible characters having height zero with several exa^nples in this note.