小阶群中NS-可补充子群
NS-supplemented Subgroups in Finite Groups of Small Order
赵佳 1吴金莲 1张佳1
作者信息
- 1. 西华师范大学数学与信息学院,四川南充 637009
- 折叠
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.
Abstract
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Key words
supplementary properties/NS-supplemented subgroups/symmetric group引用本文复制引用
基金项目
国家自然科学基金(12001436)
四川省自然科学基金(2022NSFSC1843)
教育部"春晖计划"合作科研项目(HZKY20220567)
出版年
2024
国家科技期刊平台
NSTL
万方数据