| 关于正规子群补的存在 |
| |
| 引用本文： | 卢占化.关于正规子群补的存在[J].河南师范大学学报(自然科学版),1991(3):100-102. |
| |
| 作者姓名： | 卢占化 |
| |
| 作者单位： | 河南师范大学数学系 |
| |
| 摘 要： | 本文通过sylow子群来讨论正规子群H的补子群存在问题,证明了H的补子群存在的两个充分条件:(1)H的每个Sylow子群都是G的Sylow子群的直因子且G/H为P一群。(2)H的每个Sylow子群都是G的Sylow直因子,且H为Abel。
|
| 关 键 词： | 直因子 补子群 Hall子群的子群 |
EXISTENCE OF COMPLEMENTS OF A NORMAL SUBGROUP |
| |
| Lu Zhanhua.EXISTENCE OF COMPLEMENTS OF A NORMAL SUBGROUP[J].Journal of Henan Normal University(Natural Science),1991(3):100-102. |
| |
| Authors: | Lu Zhanhua |
| |
| Institution: | Lu Zhanhua Department of Mathematics |
| |
| Abstract: | Let G be a finite group.HAG.In this paper,we establish two sufficiont conditions for H to have acomplement in G.(1)IfG/H is a p-group and every sylow subgroup of H is a direct factor of some sylowsubgroup of G,then H has a complement in G.(2)If H is a abelian subgroup and every sylow subgroup ofH is a direct factor of some sylow subgroup of G,then H has a complement inG. |
| |
| Keywords: | direct factor complement Hall-subgroup |
| 本文献已被 CNKI 维普 等数据库收录！ |
