摘要
定义了Γk-πn群,得到了文献〔1〕中Γk-pn群的一些相应结果。并对其做了进一步探讨,证明了Γk-πn群类构成—饱和群系,给出了它的局部定义组。
In this paper,the Γ k-πn groups are defined.Some relevant results of Γ k-pn groups in bibliography 1 are obtained.Moreover,that the class of Γ k-πn groups is a saturated formation is proved and its local definition is given.
关键词
群论
有限群论
幂零群
饱和群系
nilpotent group,Γ k-πn group,saturated formation