摘要
子群的指数是群的一个重要数量性质,主要研究子群的指数集合对有限群的影响,得出了如果两个群的子群的指数集合相等,若其中一个可解,则另一个也可解,且两个群的阶也相等,并对指数集合中的数字的连续性也进行了一定的研究.
The order of finite group is an important quantity property. This paper mainly discusses the influence of index set of subgroups on finite groups, and gets that if index sets of subgroups of two groups are equal,where one group is solvable , then the other is also solvable, and their orders are equal. Moreover, this thesis studies the continuity of numbers in index set of subgroups of finite groups.
出处
《贵州师范大学学报（自然科学版）》
CAS
2011年第1期45-47,共3页
Journal of Guizhou Normal University：Natural Sciences
基金
贵州省科技基金(黔科合J字LKS[2010]04号)资助项目
关键词
子群的阶
子群的指数
可解群
orders of subgroups,indexes of subgroups, solvable groups
