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| U(n,Z_p)的极大子群及次极大子群 | |
| 引用本文： | 程正杰,李尚志. U(n,Z_p)的极大子群及次极大子群[J]. 数学学报, 2011, 0(2): 285-292 |
| 作者姓名： | 程正杰 李尚志 |
| 作者单位： | 中国科学技术大学;合肥工业大学数学学院;北京航空航天大学理学院; |
| 基金项目： | 国家自然科学基金资助项目(70971035) |
| 摘 要： | 证明了任何有限p-群都同构于某一U(n,Z_p)的子群,讨论了U(n,Z_p)的极大子群及次极大子群. |
| 关 键 词： | 极大子群 次极大子群 Frattni子群 |
Maximal and Sub-Maximal Subgroups of U(n,Z_p) |
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| Zheng Jie CHENG University of Science , Technology of China,Heifei ,P.R.China School of Mathematics,Hefei University of Technology,Heifei ,P.R.China Shang Zhi LI School of Science,Beijing University of Aeronautics , Astronautics,Beijing ,P.R.China. Maximal and Sub-Maximal Subgroups of U(n,Z_p)[J]. Acta Mathematica Sinica, 2011, 0(2): 285-292 | |
| Authors: | Zheng Jie CHENG University of Science Technology of China Heifei P.R.China School of Mathematics Hefei University of Technology Heifei P.R.China Shang Zhi LI School of Science Beijing University of Aeronautics & Astronautics Beijing P.R.China |
| Affiliation: | Zheng Jie CHENG University of Science and Technology of China,Heifei 230026,P.R.China School of Mathematics,Hefei University of Technology,Heifei 230009,P.R.China Shang Zhi LI School of Science,Beijing University of Aeronautics & Astronautics,Beijing 100083,P.R.China |
| Abstract: | It is shown that every finit p-group is isomorphic to certain subgroups of U(n,Z_p) for some positive integrer n,and the maximal subgroups and sub-maximal subgroups of U(n,Z_p) are obtained. |
| Keywords: | maximal subgroups sub-maximal subgroups Frattni subgroups |
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