| 两个正规p-超可解子群的积 |
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| 引用本文： | 毛月梅,马小箭,汤兴政.两个正规p-超可解子群的积[J].数学杂志,2017,37(6):1309-1316. |
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| 作者姓名： | 毛月梅 马小箭 汤兴政 |
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| 作者单位： | 山西大同大学量子信息科学研究所, 山西 大同 037009;中国科学技术大学数学学院, 安徽 合肥 230026,山西大同大学量子信息科学研究所, 山西 大同 037009,中国科学技术大学数学学院, 安徽 合肥 230026 |
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| 基金项目： | 国家自然科学基金（11371335）. |
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| 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.
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| 关 键 词： | 有限群 超可解群 p-超可解群 Sylow子群 |
| 收稿时间： | 2016/5/27 0:00:00 |
| 修稿时间： | 2016/9/5 0:00:00 |
THE PRODUCT OF TWO NORMAL P-SUPERSOLUBLE SUBGROUPS |
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| MAO Yue-mei,MA Xiao-jian and TANG Xing-zheng.THE PRODUCT OF TWO NORMAL P-SUPERSOLUBLE SUBGROUPS[J].Journal of Mathematics,2017,37(6):1309-1316. |
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| Authors: | MAO Yue-mei MA Xiao-jian and TANG Xing-zheng |
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| Institution: | Institute of Quantum Information Science, Shanxi Datong University, Datong 037009, China;School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, China,Institute of Quantum Information Science, Shanxi Datong University, Datong 037009, China and School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, China |
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| 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 in1] about supersoluble groups can be generalized. |
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| Keywords: | finite groups supersoluble groups p-supersoluble groups Sylow subgroups |
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