周政平. 关于群论中一个定理的注记[J]. 工程科学学报, 1989, 11(2): 184-186. DOI: 10.13374/j.issn1001-053x.1989.02.033
引用本文: 周政平. 关于群论中一个定理的注记[J]. 工程科学学报, 1989, 11(2): 184-186. DOI: 10.13374/j.issn1001-053x.1989.02.033
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Zhou Zhengping. A Note on a Theorem in Group Theory[J]. Chinese Journal of Engineering, 1989, 11(2): 184-186. DOI: 10.13374/j.issn1001-053x.1989.02.033
Citation: Zhou Zhengping. A Note on a Theorem in Group Theory[J]. Chinese Journal of Engineering, 1989, 11(2): 184-186. DOI: 10.13374/j.issn1001-053x.1989.02.033
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关于群论中一个定理的注记

A Note on a Theorem in Group Theory

    摘要
  • 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:NG(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。

     

    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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