有限群的E-可补准素子群

Some Primary Subgroups E-supplemented of Finite Group

运用极小阶反例法,研究E-可补子群对有限群幂零性的影响。在群系中,利用群G的正规子群（Sylow子群）的n-极大子群在G中的E-可补性,得到G为幂零群的一些充要条件,推广和改进了Skiba、李长稳等得出的一些结论。

The authors investigated the influence of E-supplemented subgroups on nilpotency of finite groups by using the method of minimal order counterexample.A series of necessary and sufficient conditions for a group to be nilpotent are obtained in formation by means of some groups of G,such as n-the maxmal subgroups of the normal subgroup of G,n-maxmal subgroups of the Sylow subgroup of G,etc.Some of Skiba and Changwen Li＇s results are generalized and improved.