小阶群中NS-可补充子群  

NS⁃supplemented Subgroups in Finite Groups of Small Order

作　　者：赵佳 吴金莲 张佳 ZHAO Jia;WU Jinlian;ZHANG Jia(School of Mathematics and Information,China West Normal University,Nanchong Sichuan 637009,China)

机构地区：[1]西华师范大学数学与信息学院,四川南充637009

出　　处：《海南热带海洋学院学报》2024年第2期84-89,共6页Journal of Hainan Tropical Ocean University

基　　金：国家自然科学基金项目(12001436);四川省自然科学基金项目(2022NSFSC1843);教育部“春晖计划”合作科研项目(HZKY20220567)。

摘　　要：在有限群中,子群的可补充性质对刻画群结构有重要影响。基于Monakhov等提出的NS-可补充子群的概念,从具体的群出发,研究了在3次对称群和4次对称群中的NS-可补充子群,并完全确定了其所有的NS-可补充子群。这也对NS-可补充子群的后续相关课题的研究起到积极的作用。In finite groups,the supplementary properties of subgroups have a significant impact on characterizing group structures.Based on the concept of NS⁃supplemented subgroups proposed by Monakhov et al.,from the specific groups,NS⁃supplemented subgroups in the symmetric group of degree 3 and degree 4 were investigated,and all NS⁃supplemented sub⁃groups were completely identified.This result will play a positive role in the subsequent research on related topics of NS⁃supplemented subgroups.

关 键 词：可补充性质 NS-可补充子群 对称群 

分 类 号：O152.1[理学—数学]