摘要
设Ｇ是有限群，Ｍ是Ｇ的正规子群并且Ｇ／Ｍ满足Ｋπ若Ｍ满足下列条件之一（１）Ｍ是π－可分的；（２）Ｍ含幂零Ｈａｌｌπ－子群；（３）Ｍ含Ｈａｌｌπ－子群其每Ｓｙｌｏｗ子群均循环；则Ｇ满足Ｄπ．
Let G be a finite group.Suppose that M is a normal subgroup of G and G/M satisfies Dπ(The definition of Dπ is given in the text). If M satisfies one of the following(1 ) M is π-separable ;(2) M has a nilpotent Hall π-subgroup ;(3) M has a Hall π-subgroup whose Sylow subgroups are all cyclic. Then, G satisfies Dπ.
出处
《西南师范大学学报（自然科学版）》
CAS
CSCD
1996年第S1期73-,70,共2页
Journal of Southwest China Normal University(Natural Science Edition)
关键词
有限群
正规于群
Hall-子群
循环群
共轭子群
Π-可分群
幂零群
finite groups
normal subgroups
Hall subgroups
cyclic group
conjugate subgroup
π-separable
nilpotent group
