具有冪零局部子群的有限群一文的注記

A finite group G is called PN-group if G is not nilpotent and for every p-subgroup P of G, there holds that either P is normal in G or P C Z∞(G) or NG(P) is nilpotent, p ∈π(G).In this paper, we prove that PN-group is meta-nilpotent, especially, PN-group is solvable. In addition, we give an elementary, intuitionistie, compact proof of the structure theorem of PN-group.

作 者： 李樣明 LI Yang Ming   作者單位： Department of Mathematics, Guangdong College of Education, Guangdong 510310, China  刊 名： 數(shù)學(xué)研究與評論  ISTIC PKU 英文刊名： JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION  年，卷(期)： 2008 28(3)  分類號： O152.1  關(guān)鍵詞： PN-group   meta-nilpotent group   structure theorem  

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