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Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2004, Vol. 5 Issue (7): 749-753    DOI: 10.1631/jzus.2004.0749
Applied Mathematics     
A characteristic condition of finite nilpotent group
LI Yang-ming
Department of Mathematics, Zhejiang University, Hangzhou 310016, China; Department of Mathematics, Guangdong College of Education, Guangzhou 510310, China
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Abstract  This paper gives a characteristic condition of finite nilpotent group under the assumption that all minimal subgroups of G are well-suited in G.

Key wordsZ-permutable subgroup      Nilpotent group      The generalized Fitting subgroup      Hypercenter subgroup     
Received: 04 November 2003     
CLC:  O152  
Cite this article:

LI Yang-ming. A characteristic condition of finite nilpotent group. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2004, 5(7): 749-753.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2004.0749     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2004/V5/I7/749

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