| 引用本文： |
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石向东,韦华全,黄杰山.有限群的半覆盖-远离及X-半置换子群[J].广西科学院学报,2012,28(2):93-97. [点击复制]
- SHI Xiang-dong,WEI Hua-quan,HUANG Jie-shan.Emi-cover-avoiding and X-semipermutable Subgroups of Finite Groups[J].Journal of Guangxi Academy of Sciences,2012,28(2):93-97. [点击复制]
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| 摘要: |
| 研究某些Sylow子群的极大子群或二次极大子群的半覆盖-远离性或X-半置换性对有限群的p-幂零性的影响,得到有限群成为p-幂零群的几个充分和必要条件. |
| 关键词: 有限群 Sylow子群 p-幂零群 半覆盖-远离子群 X-半置换 |
| DOI： |
| 投稿时间：2011-12-14修订日期：2012-01-08 |
| 基金项目:国家自然科学基金项目(10961007,11161006),广西自然科学基金项目(0991101),广西教育厅科研基金项目资助。 |
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| Emi-cover-avoiding and X-semipermutable Subgroups of Finite Groups |
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SHI Xiang-dong1, WEI Hua-quan2, HUANG Jie-shan3
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| (1.Departement of Mathematics and Physics, Wuzhou College, Wuzhou, Guangxi, 543002, China;2.School of Mathematics Science, Guangxi Teacher's Education University, Nanning, Guangxi, 530001, China;3.Nanning College for Vocational Technology, Nanning, Guangxi, 530022, China) |
| Abstract: |
| The influence of semi-cover-avoiding and X-semipermutable properties of maximal and 2-maximal subgroups of some Sylow subgroups on the p-nilpotency of finite groups are investigated. Some sufficient and necessary conditions for a finite group to be p-nilpotent are obtained. |
| Key words: finite group Sylow subgroup p-nilpotent group semi-cover-avoiding subgroup X-semipermutable subgroup |
