子群可补充性对可解群p-超可解性的影响

Influence upon the Supplement of Subgroups to the P-supersolubility of Soluble Groups

利用可补充子群的性质研究了有限可解群的p-超可解性,特别地,给出了可解群G为p-超可解群的一个充分必要条件.

In this paper, by using the supplemented subgroups, p- supersolubility of finite soluble groups has been studied. In particular,a new sufficient and necessary condition is obtained under which a soluble group G is p-supersoluble.