有限群的ss-可补子群

On Supplemented Subgroups of Finite Groups

有限群G的子群H叫做在G中ss-可补,如果存在G的子群K使得HK是G的s-置换子群且H∩K HsG,其中HsG是G的含于H的最大s-置换子群.该文刻划具有Sylow子群的某些ss-可补子群的有限群的可解性.

A subgroup of a group is said to be supplemented in if there exists a subgroup of such that is a permutable subgroup of and, where is the largest permutable subgroup of contained in In this paper, the solvability of a finite group with some subgroups of Sylow subgroups supplemented in is characterized.