| s-半置换子群与p-幂零群 |
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| 引用本文： | 呼晶,钱方生. s-半置换子群与p-幂零群[J]. 哈尔滨师范大学自然科学学报, 2010, 26(2): 10-11,18 |
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| 作者姓名： | 呼晶 钱方生 |
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| 作者单位： | 哈尔滨师范大学;哈尔滨师范大学 |
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| 基金项目： | 黑龙江省教育厅科学技术研究项目 |
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| 摘 要： | 利用Sylow子群的循环正规子群的s-半置换性得到有限群为p-幂零群的一些充分条件.
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| 关 键 词： | s-半置换子群 循环子群 p-幂零群 |
s-Semipermutable Subgroups and p- nilpotent Groups |
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| Hu Jing,Qian Fangsheng. s-Semipermutable Subgroups and p- nilpotent Groups[J]. Natural Science Journal of Harbin Normal University, 2010, 26(2): 10-11,18 |
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| Authors: | Hu Jing Qian Fangsheng |
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| Affiliation: | (Harbin Normal University) |
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| Abstract: | Let G be a finite gtoup.A subgroup H of a group G is called semipermutable if it is permutable with every subgroups K of G with（｜H｜,｜K｜）=1,and s-semipermutable if it is permutable with every Sylowp-subgroups of G with（p,｜G｜）=1.The influence of s-semipermutablity of subgroups of Sylow subgroup of a finite group on its p-nilpottence are investigated. |
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| Keywords: | s-semipermutable subgroups Abelian group p-nilpotentgroups |
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