| 自共轭置换子群对群p-幂零性的影响 |
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| 引用本文： | 侯艳,钱方生.自共轭置换子群对群p-幂零性的影响[J].哈尔滨师范大学自然科学学报,2010,26(5):7-8. |
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| 作者姓名： | 侯艳 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： | 有限群G的一个子群H叫做自共轭置换子群,如果对于任意x∈G,由HHx=HxH可推出H=Hx.通过研究p阶和4阶循环子群的自共轭置换性来讨论有限群的p-幂零性.
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| 关 键 词： | 自共轭置换子群 p-幂零群 |
The Influence of Self-conjugate Permutable Subgroups on p-nilpotency of Finite Groups |
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| Hou Yan,Qian Fangsheng.The Influence of Self-conjugate Permutable Subgroups on p-nilpotency of Finite Groups[J].Natural Science Journal of Harbin Normal University,2010,26(5):7-8. |
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| Authors: | Hou Yan Qian Fangsheng |
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| Institution: | (Harbin Normal University) |
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| Abstract: | A subgroup H of a finite group G is called a self-conjugate permutable subgroup in G,if HHx=HxH implies that H=Hx for any x of G.In this paper,the p-nipotency of finite groups by means of the self-conjugate permutability of cyclicgroups of order p and 4 are studied. |
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| Keywords: | Self-conjugate permutable subgroups p-nilpotent groups |
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