有限群的c-半置换子群  

C-Semipermutable Subgroups of Finite Groups

作　　者：殷霞[1] 

机构地区：[1]江南大学理学院,江苏无锡214122

出　　处：《数学的实践与认识》2012年第5期164-169,共6页Mathematics in Practice and Theory

摘　　要：研究了有限群的结构问题,利用子群c-半置换和完全c-半置换的定义和性质,通过对有限群sylow子群的2-极大子群的研究,获得了有限群幂零、p-幂零的充分条件和另外两个决定群结构的充要条件.In this paper, we study the structures of finite groups. We obtain some sufficient conditions for a group to be nilpotent and p-nilpotent by using the 2-maximal subgroup of sylow subgroup to be c-semipermutable or completely c-semipermutable. We also use them to determine the structures of some finite groups.

关 键 词：c-半置换子群 sylow子群的2-极大子群 P-幂零群 幂零群 

分 类 号：O152.1[理学—数学]