山西大学学报（自然科学版）2024，Vol.47Issue(1)：134-139,6.DOI:10.13451/j.sxu.ns.2023040
特征标的正规原核与次正规原核
Normal Nuclei and Subnormal Nuclei of Characters
摘要
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分类
数理科学引用本文复制引用
王蕾..特征标的正规原核与次正规原核[J].山西大学学报（自然科学版）,2024,47(1):134-139,6.基金项目
山西省自然科学基金(20210302123429) （20210302123429）
