有限群的ss-可补子群  

On Supplemented Subgroups of Finite Groups

作　　者：韦华全[1] 董淑琴[1] 黄杰山[2] 

机构地区：[1]广西师范学院数学科学学院,广西南宁530001 [2]南宁职业技术学院,广西南宁530022

出　　处：《广西民族大学学报（自然科学版）》2009年第2期73-75,93,共4页Journal of Guangxi Minzu University ：Natural Science Edition

基　　金：国家自然科学基金(10871210);广西自然科学基金(0640070);广西教育厅科研基金

摘　　要：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.

关 键 词：s-置换 ss-可补 可解 

分 类 号：O152.1[理学—数学]