非cp-正规的二极大子群对群结构的影响  

The influence of non-c p-normal second maximal subgroups on the structure of the groups

作　　者：缪龙 王杰[1] 杨琳 周文霞 MIAO Long;WANG Jie;YANG Lin;ZHOU Wen-xia(School of Mathematics,Hohai University,Nanjing 210098,Jiangsu,China;College of Science,Jinling Institute of Technology,Nanjing 211169,Jiangsu,China)

机构地区：[1]河海大学数学学院,江苏南京210098 [2]金陵科技学院理学院,江苏南京211169

出　　处：《西北师范大学学报(自然科学版)》2025年第2期30-34,51,共6页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(12371018);中央高校基本科研业务费专项资金资助(2013/B240201093)。

摘　　要：结合群类S_(p)^(*)-的概念和子群的核关系定义了核不等S_(p)^(*)-嵌入性质,利用某些非cp-正规的二极大子群的核不等S_(p)^(*)-嵌入性质对群结构进行研究,并给出群类的相关刻画.The core inequality S_(p)^(*)-embedding property is defined by combining the concept of group class S_(p)^(*)and the core relation of subgroups.Specifically,the core inequality S_(p)^(*)-embedding property of some non-c p-normal second maximal subgroups is utilized to study the structure of the groups,and provide relevant characterization on group class.

关 键 词：主因子 极大子群 二极大子群 核不等S_(p)^(*)-嵌入性质 

分 类 号：O152.1[理学—数学]