| 完全C-置换子群 |
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| 引用本文： | 高金新.完全C-置换子群[J].安徽机电学院学报,2009(4):61-64. |
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| 作者姓名： | 高金新 |
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| 作者单位： | 安徽工程科技学院应用数理系,安徽芜湖241000 |
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| 基金项目： | 基金项目：国家自然科学基金资助项目（10771180）;安徽工程科技学院青年基金项目（2006yq022） |
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| 摘 要： | 群G的一个子群H称在G中完全条件置换（或完全C-置换）．如果对群G的任意子群K，存在x∈〈H，K〉，满足HK^x=K^xH．利用子群的完全C-置换性给出了群为P-幂零群及超可解群的一些特征．
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| 关 键 词： | 完全C-置换子群 超可解群 p-幂零群 |
Completely C-permutable subgroups |
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| GAO Jin-xin.Completely C-permutable subgroups[J].Journal of Anhui Institute of Mechanical and Electrical Engineering,2009(4):61-64. |
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| Authors: | GAO Jin-xin |
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| Affiliation: | GAO Jin-xin (Dept. of Appl. Math. Phy. ,Anhui University of Technology and Science, Wuhu 241000, China) |
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| Abstract: | A subgroup H of a group G is said to be completely conditionally permutable（or in brevitv. completely c-permutable） in G if for every subgroup T of G there exists an element x ∈〈 H, T〉 such that HT^x = T^xH. This paper analyses the characteristics of p-nilpotent group and supersovable group with completely e-permutable subgroups. |
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| Keywords: | completely c-permutable subgroup supersoluble group p-nilpotent group |
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