%0 Journal Article %T 两个正规p-超可解子群的积<br>THE PRODUCT OF TWO NORMAL P-SUPERSOLUBLE SUBGROUPS %A 作者 %A 毛月梅 %A 马小箭 %A 汤兴政 %J 数学杂志 %D 2017 %X 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.<br>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 %K 有限群 超可解群 p-超可解群 Sylow子群< %K br> %K finite groups supersoluble groups p-supersoluble groups Sylow subgroups %U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20170623&flag=1