摘要
在有限群中，［１］证明了：内幂零群是可解群；［２］证明了：内超可解群是可解群．本文证明了：内幂零群当其正规ｓｙｌｏｗ子群中元为广义中心元时，则为超可解；并且给出了内幂零群中心的几个性质．
In finite groups, it has been proved that an inner nilpotent group is a solvable group in and an insupersolvable group is a solvable group in. In this paper, We study that the inner nilpotent group whose Sylow subgroup consists of general central elements is a supersolvable, and offer some properties on the centre of a inner nilpotent group.
出处
《哈尔滨师范大学自然科学学报》
CAS
1998年第4期15-17,共3页
Natural Science Journal of Harbin Normal University
关键词
内幂零群
可解群
超可解群
有限群
Inner nilpotent group
Solvable group
Supersolvable group
