有限p-幂零群的一个刻画

A Characterization of Finite p-nilpotent Groups

利用有限群G的Sylow p-子群的极大子群给出了有限群成为P-幂零群的一个充分条件:若G的Sylow p-子群P的所有极大子群在G中s-半正规,则G为P-幂零群。同时,推广了有关P-幂零性的几个已知结果。

By using the maximal subgroups of Sylow p-subgroups of G,sufficient conditions of a finite group being p-nilpotent is given：let P is the Sylow p-subgroups of G,if all the maximal subgroups of P is s-seminormal subgroups in the group of G,then G is p-nilpotent group,and which generalize some known results on this topic.