摘要
通过建立上π－幂零列和下π－幂零列，得到了判别有限群为π－可解群的一个充要条件。
In this paper, the upper π nilpotent series and the lower π nilpotent series of finite groups are introduced, and one necessary and sufficient condition for a finite group to be a π soluble group is obtained.
出处
《南京建筑工程学院学报》
1997年第1期43-46,共4页
Journal of Nanjing Architectural and Civil Engineering Institute(Natural Science)
关键词
有限群
幂零群
正规群列
Π-可解群
finite group
nilpotent group
normal series
π soluble group
upper π nilpotent series
lower π nilpotent series
