关于有限群的极大子群的s*-完备

doi:10.13371/j.cnki.chin.q.j.m.2015.03.009

数学季刊 ›› 2015, Vol. 30 ›› Issue (3): 381-388.doi: 10.13371/j.cnki.chin.q.j.m.2015.03.009

关于有限群的极大子群的s^*-完备

School of Science, Dalian Ocean University

收稿日期:2014-03-28 出版日期:2015-09-30 发布日期:2020-11-20
作者简介:GAO Hui(1978-), female, native of Zhuanghe, Liaoning, a lecturer of Dalian Ocean University, M.S.D., engages in finite group; GAO Sheng-zhe(Corresponding author)(1974-), male, native of Daxinganling, Heilongjiang, an associate professor of Dalian Ocean University, M.S.D., engages in finite group; YIN Li(1981-), female, native of Zhuanghe, Liaoning, a lecturer of Dalian Ocean University, M.S.D., engages in finite group.

On s^¤-Completions of Maximal Subgroups of Finite Groups

School of Science, Dalian Ocean University

Received:2014-03-28 Online:2015-09-30 Published:2020-11-20
About author:GAO Hui(1978-), female, native of Zhuanghe, Liaoning, a lecturer of Dalian Ocean University, M.S.D., engages in finite group; GAO Sheng-zhe(Corresponding author)(1974-), male, native of Daxinganling, Heilongjiang, an associate professor of Dalian Ocean University, M.S.D., engages in finite group; YIN Li(1981-), female, native of Zhuanghe, Liaoning, a lecturer of Dalian Ocean University, M.S.D., engages in finite group.

摘要/Abstract

摘要： Given a maximal subgroup M of a group G, a θ*-completion C of M is called an s*-completion if either C = G or there exists a subgroup D of G which is not a θ*-completion of M such that D contains C as a maximal subgroup. In this paper, we obtain several results on s*-completions which imply G to be solvable or supersolvable.

关键词: maximal subgroups, θ*-completions, s^¤-completions, solvable groups, supersolvable groups

Abstract: Given a maximal subgroup M of a group G, a θ*-completion C of M is called an s*-completion if either C = G or there exists a subgroup D of G which is not a θ*-completion of M such that D contains C as a maximal subgroup. In this paper, we obtain several results on s*-completions which imply G to be solvable or supersolvable.

Key words: maximal subgroups; θ*-completions, s^¤-completions, solvable groups, supersolvable groups

中图分类号:

高辉, 高胜哲, 尹丽. 关于有限群的极大子群的s^*-完备[J]. 数学季刊, 2015, 30(3): 381-388.

GAO Hui, GAO Sheng-zhe, YIN Li. On s^¤-Completions of Maximal Subgroups of Finite Groups[J]. Chinese Quarterly Journal of Mathematics, 2015, 30(3): 381-388.

关于有限群的极大子群的s^*-完备

On s^¤-Completions of Maximal Subgroups of Finite Groups

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 1

编辑推荐

Metrics

本文评价

关于有限群的极大子群的s*-完备

On s¤-Completions of Maximal Subgroups of Finite Groups

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 1

编辑推荐

Metrics

本文评价

关于有限群的极大子群的s^*-完备

On s^¤-Completions of Maximal Subgroups of Finite Groups