Mathematical Sciences: Carter Subgroups and Characters of Finite Solvable Groups

本课题研究定义在有限可解群的Carter类上的复值类函数的唯一基，其行为方式与p-可解群中的不可约Brauer特征标相同。首席调查员将为系统规格化器解决类似的问题。本研究属于有限群表示论的一般领域。群表示理论的主要应用之一。

This project is concerned with the study of a unique basis for the complex valued class functions defined on the Carter classes of a finite solvable group that behave the same way as the irreducible Brauer characters do in a p-solvable group. The principal investigator will address a similar question for System Normalizers. This research is in the general area of the representation theory of finite groups. One of the main applications of group representation theory.