| 摘要: |
| 本文研究了有限群的超可解性.利用Fitting子群的某些特殊子群的PCM性质对有限群结构的影响,获得了超可解群的一些充要条件. |
| 关键词: 共轭置换子群 极大子群 Fitting子群 超可解群 饱和群系 |
| DOI： |
| 分类号:O152.1 |
| 基金项目:国家自然科学基金 |
|
| ON PCM-SUBGROUPS OF FINITE GROUPS |
|
LI Hua,TANG Feng
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LI Hua,TANG Feng (Dept. of Math.,Changshu Institute of Technologe,Changshu 215500,China)
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| Abstract: |
| In this article, we investigate the supersolvability of finite groups. By using PCM properties of certain subgroups of Fitting subgroups, we obtain some sufficient and necessary conditions for supersolvability. |
| Key words: PC-subgroup maximal subgroup Fitting subgroup supersolvable group saturated formation |
