| 有限内幂零群的几个性质 |
| |
| 引用本文： | 何立国. 有限内幂零群的几个性质[J]. 哈尔滨师范大学自然科学学报, 1998, 14(4): 15-17 |
| |
| 作者姓名： | 何立国 |
| |
| 作者单位： | 哈尔滨师范大学 |
| |
| 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。
|
| 关 键 词： | 内幂零群 可解群 超可解群 有限群 |
SOME PROPERTIES OF FINITE INNER NILPOTENT GROUPS |
| |
| He Liguo. SOME PROPERTIES OF FINITE INNER NILPOTENT GROUPS[J]. Natural Science Journal of Harbin Normal University, 1998, 14(4): 15-17 |
| |
| Authors: | He Liguo |
| |
| Affiliation: | Harbin Normal University |
| |
| Abstract: | 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. |
| |
| Keywords: | Inner nilpotent group Solvable group Supersolvable group |
| 本文献已被 CNKI 维普 等数据库收录！ |
