特征标的正规原核与次正规原核
Normal Nuclei and Subnormal Nuclei of Characters
王蕾1
作者信息
- 1. 山西大学 数学科学学院,山西 太原 030006
- 折叠
摘要
对于一个给定的不可约复特征标,一般而言它的正规原核和次正规原核是不相同的,研究它们何时重合是一个很基本的问题.2001年,Isaacs 和 Navarro 利用 Hall 子群的拟本原特征标构造了一类不可约复特征标.本文将证明这类特征标的正规原核和次正规原核是相同的,从而加强了 Isaacs 和 Navarro 的结论,并给出了若干应用.
Abstract
In general,normal nuclei and subnormal nuclei are different for a given irreducible complex character,and it is a basic problem to study that when these two classes of nuclei coincide with each other.In 2001,Isaacs and Navarro introduced a class of ir-reducible complex characters that are induced from qusi-primitive characters of Hall subgroups.In this paper,we show that normal nuclei of these characters are the same as subnormal nuclei.This strengthens Isaacs and Navarro's result and several applications are given.
关键词
π-可分群/正规原核/次正规原核/Bπ-特征标/Nπ-特征标Key words
π-separable group/normal nucleus/subnormal nucleus/Bπ-character/Nπ-character引用本文复制引用
基金项目
山西省自然科学基金(20210302123429)
出版年
2024
国家科技期刊平台
NSTL
万方数据