给定亏群的p块的存在性(英文)

On the Existence of p-Blocks with a Given p-Group as Defect Group G

在本文中,主要研究了群G在其子群的指标上的一些作用,并用这些作用得到了一些给定亏群的块的存在性.

In this paper, we study some actions of a finite group G on the set of characters of its subgroups, and by using these actions we determine the existence of a p-block with given defect group in some cases.