| 摘要: |
| 本文研究了两个正规的p-超可解子群的积构成的极小非p-超可解群的结构的问题.利用有限群论和群类论的一些基本方法，获得了两个正规的p-超可解子群的积仍为p-超可解群的一些充分条件，并推广了文[1]中关于超可解群的情况. |
| 关键词: 有限群 超可解群 p-超可解群 Sylow子群 |
| DOI： |
| 分类号:O152.1 |
| 基金项目:国家自然科学基金（11371335）. |
|
| THE PRODUCT OF TWO NORMAL P-SUPERSOLUBLE SUBGROUPS |
|
MAO Yue-mei1,2, MA Xiao-jian1, TANG Xing-zheng2
|
|
1.Institute of Quantum Information Science, Shanxi Datong University, Datong 037009, China;2.School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, China
|
| Abstract: |
| In this paper, we study the stucture of minimal non-p-supersoluble groups which are the product of two normal p-supersoluble subgroups. By using basic methods of finite group theory, some sufficient conditions under which the product of two normal p-supersoluble subgroups is still p-supersoluble are obtained. Meanwhile, some results in[1] about supersoluble groups can be generalized. |
| Key words: finite groups supersoluble groups p-supersoluble groups Sylow subgroups |
