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小阶群中NS-可补充子群

赵佳 吴金莲 张佳

海南热带海洋学院学报2024,Vol.31Issue(2):84-89,6.
海南热带海洋学院学报2024,Vol.31Issue(2):84-89,6.DOI:10.13307/j.issn.2096-3122.2024.02.12

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

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

分类

数理科学

引用本文复制引用

赵佳,吴金莲,张佳..小阶群中NS-可补充子群[J].海南热带海洋学院学报,2024,31(2):84-89,6.

基金项目

国家自然科学基金项目(12001436) (12001436)

四川省自然科学基金项目(2022NSFSC1843) (2022NSFSC1843)

教育部"春晖计划"合作科研项目(HZKY20220567) (HZKY20220567)

海南热带海洋学院学报

OACHSSCD

1008-6722

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