数学季刊 ›› 2016, Vol. 31 ›› Issue (4): 406-411.doi: 10.13371/j.cnki.chin.q.j.m.2016.04.009

• • 上一篇    下一篇

关于F-反正规子群的θ*-完备

  

  1. School of Science,Dalian Ocean University
  • 收稿日期:2014-10-23 出版日期:2016-12-30 发布日期:2020-11-03
  • 作者简介:GAO Hui(corresponding author)(1978-), female, native of Zhuanghe, Liaoning, a lecturer of Dalian Ocean University, engages in ¯nite group; GAO Sheng-zhe(1974-), male, native of Daxinganling, Heilongjiang, an associate professor of Dalian Ocean University, engages in ¯nite group; YIN Li(1981-), female,native of Zhuanghe, Liaoning, a lecturer of Dalian Ocean University, engages in finite group.

On µ¤-completions of F-abnormal Subgroups

  1. School of Science,Dalian Ocean University
  • Received:2014-10-23 Online:2016-12-30 Published:2020-11-03
  • About author:GAO Hui(corresponding author)(1978-), female, native of Zhuanghe, Liaoning, a lecturer of Dalian Ocean University, engages in ¯nite group; GAO Sheng-zhe(1974-), male, native of Daxinganling, Heilongjiang, an associate professor of Dalian Ocean University, engages in ¯nite group; YIN Li(1981-), female,native of Zhuanghe, Liaoning, a lecturer of Dalian Ocean University, engages in finite group.

摘要:

Let F be a saturated formation of finite groups. Given a proper subgroup H of a group G, a subgroup H of G is called F-normal in G if G/HGbelongs to F; otherwise H is said to be F-abnormal in G. In this paper, we investigate the structure of a finite group by

 θ*-completions of F-abnormal subgroups. 

关键词: θ*-completions, maximal subgroups, 2-maximal subgroups, F-abnormal subgroups

Abstract: Let F be a saturated formation of finite groups. Given a proper subgroup H of a group G, a subgroup H of G is called F-normal in G if G/HGbelongs to F; otherwise H is said to be F-abnormal in G. In this paper, we investigate the structure of a finite group by θ*completions of F-abnormal subgroups. 

Key words: θ*-completions, maximal subgroups, 2-maximal subgroups, F-abnormal subgroups

中图分类号: