Fong特征标与诱导源  

Fong characters and inductive sources

作　　者：常学武[1] 张俊伟 CHANG Xuewu;ZHANG Junwei(School of Mathematical Sciences,Shanxi University,Taiyuan 030006,China)

机构地区：[1]山西大学数学科学学院,山西太原030006

出　　处：《湖北大学学报（自然科学版）》2021年第3期237-241,共5页Journal of Hubei University：Natural Science

基　　金：国家自然科学基金(11601289)资助。

摘　　要：研究π-可分群中的Iπ-诱导源,证明了相应的诱导源对应保持Fong特征标不变,并且给出了相应两个Fong特征标集合之间的一个双射.该结果推广了I.M.Isaacs关于Clifford对应保持Fong特征标不变的相应定理,并包含了其Brauer特征标的版本.It was proved in this paper that for an Iπ-inductive source of aπ-separable group,the inductive source correspondence keeps Fong characters unchanged,and a bi-jection between the two sets of the corresponding Fong characters was established.This result generalizes the corresponding theorem of I.M.Isaacs for the Clifford correspondence keeping the Fong characters unchanged,and contains the version of Brauer characters.

关 键 词：π-部分特征标 FONG特征标 诱导源 诱导源对应 

分 类 号：O152.6[理学—数学]