摘要
子群的个数对有限群有很大的影响,不少群论工作者对此也有很多的研究,本文利用子群的个数给出几类有限群的新刻画,当|G|=2p;22p(p>3,p为奇素数),3p2(p>3,p为奇素数且3不整除p-1)时,G可由子群的个数唯一确定。
The number of subgroups has much influence of the structures of finite groups.Many researchers of the group theory have studied a lot.a new characterization of some finite groups was studied by the number of their subgroups,that is when ｜G｜=2p,p is odd prime;22 p,p is a odd prime;3 p2（p3,p is a prime,3 doesn＇t divide p-1）,then G is only determined by m.
出处
《贵州大学学报（自然科学版）》
2011年第3期1-3,10,共4页
Journal of Guizhou University:Natural Sciences
基金
贵州省科技基金(黔基合J字LKS(2010)04号)资助项目
关键词
子群的个数
正规子群
同构
可解群
the number of subgroups
normal subgroup
isomorphic
solvable groups
