一类特殊有限p-群的自同构群的阶  

The order of automorphism group of some special finite p-group

作　　者：班桂宁[1] 吴建平[1] 张玉[1] 张中健[1] 

机构地区：[1]广西大学数学与信息科学学院,广西南宁530004

出　　处：《云南大学学报（自然科学版）》2008年第S1期215-219,231,共6页Journal of Yunnan University(Natural Sciences Edition)

基　　金：国家自然科学基金资助项目(60274030);国际合作资助项目(2003C50302)

摘　　要：设p为奇素数,p5阶群G=〈a0,a1,a2,b0,b1|[a1,a0]=b0,[a2,a0]=b1,a0p=a1p=a2p=b0p=b1p=1〉,推广了群G的定义关系,并给出了其中一些群的自同构群的阶,进而验证了它们是LA-群.Let p is an odd prime.G is a group of p5 which is generated by a0,a1,a2,b0,b1,and satisfies the defining relations =b0,=b1,aip=bjp=1,i=0,1,2;j=0,1.The defining relations of group G is generalized and showed the order of automorphism group of some groups of them.Furthermore,it is verfied that they are LA-group.

关 键 词：自由群 自同构群 扩张 LA-群 

分 类 号：O152.1[理学—数学]