F_n可补子群与群的p超可解性  

F_n-supplemented subgroups and p-supersolvability of finite groups

作　　者：朱路进[1] 成晓燕[1] 

机构地区：[1]扬州大学数学科学学院,江苏扬州225002

出　　处：《徐州师范大学学报（自然科学版）》2010年第4期8-10,共3页Journal of Xuzhou Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10901133)

摘　　要：子群的可补性质对有限群的结构有着重要的影响.利用群G的Fn可补性研究群G的结构,给出群G为p超可解的一些充分必要条件.It is well known that supplemented subgroup plays an important role in the theory of groups.In this paper,we study the structure of finite groups using Fn-supplemented subgroup,and get some necessary and sufficient conditions for p-supersolvability of group G.

关 键 词：SYLOW子群 Fn可补子群 饱和群系 有限群 

分 类 号：O152.1[理学—数学]