| 有限群的弱s-半置换子群与p-幂零性 |
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| 引用本文： | 李洁,钱方生.有限群的弱s-半置换子群与p-幂零性[J].哈尔滨师范大学自然科学学报,2010,26(4):6-9. |
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| 作者姓名： | 李洁 钱方生 |
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| 作者单位： | 哈尔滨师范大学 |
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| 基金项目： | 国家自然科学基金，龙江学者基金，黑龙江省教育厅项目，黑龙江省高等教育教学改革工程 |
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| 摘 要： | 利用弱s-半置换子群的一些基本性质研究有限群的结构,得到有限群为p-幂零群的一些充分条件.
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| 关 键 词： | s-半置换子群 弱s-半置换子群 Sylow子群 极大子群 p-幂零群 |
Weakly s-semipermutable Subgroups of Finite Groups and p-nilpotence |
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| Li Jie,Qian Fangsheng.Weakly s-semipermutable Subgroups of Finite Groups and p-nilpotence[J].Natural Science Journal of Harbin Normal University,2010,26(4):6-9. |
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| Authors: | Li Jie Qian Fangsheng |
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| Institution: | (Harbin Normal University) |
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| Abstract: | A subgroup of a finite group is called weakly s-semipermutable in G if there is a subgroup K of G such that G=HK and H∩K≤HSSG,where HSSG is the subgroup of H generated by all those subgroup of H which are s-semipermutable in G.In this paper,the structure of finite groups in view of some basic properties of a weakly s-semipermutable subgroup are studied,and some sufficient conditions for p-nilpotence of finite groups are obtained. |
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| Keywords: | s-semipermutable subgroups Weakly s-semipermutable subgroups Sylow subgroups Cyclic subgroups p-nilpotent group |
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