On µ¤-completions of F-abnormal Subgroups

GAO Hui, GAO Sheng-zhe, YIN Li

doi:10.13371/j.cnki.chin.q.j.m.2016.04.009

Chinese Quarterly Journal of Mathematics >

2016 , Vol. 31 >Issue 4: 406 - 411

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2016.04.009

On µ¤-completions of F-abnormal Subgroups

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School of Science,Dalian Ocean University

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.

Received date: 2014-10-23

Online published: 2020-11-03

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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

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GAO Hui, GAO Sheng-zhe, YIN Li . On µ¤-completions of F-abnormal Subgroups[J]. Chinese Quarterly Journal of Mathematics, 2016 , 31(4) : 406 -411 . DOI: 10.13371/j.cnki.chin.q.j.m.2016.04.009

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