supported by National Natural Science Foundation of China (Grant No.10871032);the Natural Science Foundation of Jiangsu Province (Grant No. BK2008156)
We introduce and study the minimal inner-Σ-Ω-groups and the minimal outer-Σ-■-groups.Then we give some applications and obtain some interesting results,including characterizations of nilpotent,supersolvable,solvab...
supported by National Natural Science Foundation of China (Grant Nos.10571128,10871032);Natural Science Foundation of Jiangsu Province (Grant No.BK2008156);Suzhou City Senior Talent Supporting Project
Let G be a finite p-group.If the order of the derived subgroup of each proper subgroup of G divides pi,G is called a Di-group.In this paper,we give a characterization of all D1-groups.This is an answer to a question i...