摘要
利用群的数量特征刻画有限单群很有意义。利用群的阶及最短共轭类长刻画了素因子个数为6和7的两个有限非交换单群。证明了特殊线性群L3(37)和L2(113)是可用群的阶及最短共轭类长来刻画的。
It is interesting to characterize finite simple groups by their quantitative characteristics. In this paper, the authors have characterized two finite nonabelian simple groups with 6 and 7 prime factors by their orders and their smallest conjugacy class sizes greater than one. More precisely, we show that L3 (37) and L2 (113 ) can be characterized by their orders and their smallest conjugacy class sizes greater than one.
出处
《重庆师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2015年第5期85-87,共3页
Journal of Chongqing Normal University:Natural Science
基金
国家自然科学基金(No.11171364)
重庆市自然科学基金(No.cstc2013jcyjA00034)
重庆高校创新团队建设计划资助项目(No.KJTD201321)
重庆市教委自然科学基金(No.KJ131204)
永川区科委项目(No.Ycstc 2013nc8006)
重庆文理学院校内科研资助项目(No.Z2013SC10)
重庆文理学院人才引进项目(No.R2012SC21)
关键词
有限单群
最短共轭类长
刻画
finite simple group
the smallest conjugacy class size greater than one
characterization