具有幂零局部子群的有限群一文的注记
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： 李样明 LI Yang Ming 作者单位： Department of Mathematics, Guangdong College of Education, Guangdong 510310, China 刊 名： 数学研究与评论 ISTIC PKU 英文刊名： JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION 年，卷(期)： 2008 28(3) 分类号： O152.1 关键词： PN-group meta-nilpotent group structure theorem