论60阶群的构造  

On the Structures of Groups of Order 60

作　　者：陈松良[1] 欧阳建新[1] 李惊雷[1] 

机构地区：[1]贵州师范学院数学与计算机科学学院,贵州贵阳550018

出　　处：《唐山师范学院学报》2012年第2期22-24,共3页Journal of Tangshan Normal University

基　　金：贵州省自然科学基金资助项目(2010GZ77391)

摘　　要：设G是60阶群,那么G共有11个互不同构的类型,其中Sylow 5-子群正规的有10个。由此可得60阶单群A5的一个新的刻划,即60阶群是单群的充要条件是它的Sylow 5-子群不正规。Let G be groups of order 60.In this paper,we have showed that G has 11 nonisomorphic structures,and there are 10 structures among these where its Sylow 5-subgroups are normal.Thus we can know a new characterization of the simple A5,i.e.the group of order 60 is simple if and only if its Sylow 5-subgroups are non-normal.

关 键 词：有限群 同构分类 群的构造 

分 类 号：O152.1[理学—数学]