B_n(3)型单群的谱刻画  

On Characterization of the Simple Group B_n(3) by Means of Spectrum

作　　者：何怀玉[1] 

机构地区：[1]上海政法学院经济管理系,上海201701

出　　处：《西南师范大学学报（自然科学版）》2012年第8期5-8,共4页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：上海市优青基金资助项目(szf10016)

摘　　要：群的全部元素的阶的集合称之为谱.利用素图的连接标准,对非连通的Bn(3)型单群进行了谱刻画,证明了任意与Bn(3)具有相同谱的有限群必然和Bn(3)同构(其中n>3),进一步验证了A.S.Kondratiev猜想.The set of element orders of a group is named spectrum.By the adjacency criterion for the prime graph,and for the finite simple group Bn(3) with disconnected prime graph,we establish that every finite group with the same spectrum as Bn(3) is isomorphic to Bn(3) for n>3,which furthermore supports A.S.Kondratiev's conjecture.

关 键 词：单群 谱 刻画 素图 

分 类 号：O152.1[理学—数学]