| 关于群论中一个定理的注记 |
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| 引用本文： | 周政平. 关于群论中一个定理的注记[J]. 北京科技大学学报, 1989, 11(2): 184-186 |
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| 作者姓名： | 周政平 |
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| 作者单位： | 北京科技大学数力系 |
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| 摘 要： | 张远达在其著名著作《有限群构造》中证明了定理4(见引言),并明确指出条件[G:N_G(H)]为有限数是关键。本文证明了这个条件可以去掉,并得到更一般的定理。
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| 关 键 词： | 群论 共轭子群 容许子群 子群积 |
A Note on a Theorem in Group Theory |
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| Zhou Zhengping. A Note on a Theorem in Group Theory[J]. Journal of University of Science and Technology Beijing, 1989, 11(2): 184-186 |
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| Authors: | Zhou Zhengping |
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| Affiliation: | Zhou Zhengping |
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| Abstract: | Prof. Chang Yuanda proved Theorem 4 in his well-knownbook "Structure of Finite Groups" (in Chinese) (P.49). and pointed out that the condition that [G:NG(H)] is finite was the key of the theorem. In this note, it is shown that the codition can be left out, and a more general theorem has been proved. |
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| Keywords: | group conjugate product of subgroups admissible subgroups |
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