弱c-可置换子群对有限群结构的影响  

The Influence of Weakly c-Permutable Subgroups on the Structure of Finite Groups

作　　者：李金宝[1] 余大鹏[1] 

机构地区：[1]重庆市群与图的理论及应用重点实验室,重庆文理学院数学系,重庆402160

出　　处：《数学年刊（A辑）》2016年第2期137-146,共10页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.11501071);重庆市自然科学基金(No.cstc2014jcyjA0148;No.cstc2015jcyjA00052)的资助

摘　　要：Guo和Chen在2010年引入了弱c-可置换子群的概念,并利用这种新的广义置换性质对有限群的结构给出了一些新的刻画.本文推广了上述文献中的两个主要结论,确定了极小子群为弱c-可置换子群的有限群的结构.Guo and Chen introduced the concept of weakly c-permutable subgroups in2010,and presented some new characterizations of the structure of finite groups in terms of this generalized permutability.In this paper,two results obtained in the above article are first generalized and then the structure of groups whose minimal subgroups are weakly c-permutable is determined.

关 键 词：有限群 弱c-可置换子群 极小子群 

分 类 号：O152.1[理学—数学]