| 摘要: |
| 利用集合MH(G)={M|M是不包含H的G之极大子群}研究有限群G的极大子群s-完备的性质,得到有限群G可解的一些新判据. |
| 关键词: 有限群 可解群 s-完备 |
| DOI： |
| 投稿时间：2007-12-17修订日期：2008-05-20 |
| 基金项目:Supported by the vital study foundation of hunan university of artsand science(No.JJZD0701);foundation of education department ofhunan province(No.07C444) |
|
| On s-Completion of Maximal Subgroups of Finite Groups |
|
TANG Zeng-lin1, LI Shi-rong2
|
| (1.Department of Mathematics, Hunan University of Arts and Sciences, Changde, Hunan, 415000, China;2.Department of Mathematics, Guangxi University, Nanning, Guangxi, 530004, China) |
| Abstract: |
| Let G be a group, denote MH (G)={M|M is a maximal subgroup of G such that H≰M} where H is a given normal subgroup of G.We investigated the properties of s-completion by the set MH (G), and obtained some new conditions for the solvability of finite groups. |
| Key words: finite groups solvable group s-completion |
