两个正规p-超可解子群的积
THE PRODUCT OF TWO NORMAL P-SUPERSOLUBLE SUBGROUPS

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.
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