扭群~2F_4(q)的幺幂子群U^1的自同构  

Authomorphisms for the Unipotent Subgroup U^1 of the Twisted Group ~2F_4(q)

作　　者：曾波[1] 曹佑安[1] 

机构地区：[1]湘潭大学数学系,湖南湘潭411105

出　　处：《湘潭大学自然科学学报》2007年第3期6-13,共8页Natural Science Journal of Xiangtan University

基　　金：国家自然科学基金资助项目(10471116);湖南省教育厅资助科研项目(01A003);湖南省自然科学基金资研项目(02JJY2004)

摘　　要：设Fq是一个特征为2的q元有限域,2F4(q)是域Fq上的F4型扭群,它由幺幂子群U1,V1生成,该文确定幺幂子群U1的自同构群,证明U1的任一个自同构ψ都可以表示为对角自同构dx、域自同构ηf、内自同构aσ和中心自同构μc的乘积,即ψ=dx.ηf.σa.μc.Let Fq be a finite field of characteristic 2 that containsq elements. Let ^2F4 （q） be the twisted group of type F4 over the field Fq which is generated by the unipotent sub groups U^1 and V^1. This paper aims to determine the automorphismgroup of U^1. We prove that any automorphism ψ of U^1 can be expressed as a product of diagonal, field, inner and central automorphisms, i.e.ψ=dx·ηf·σa·μc, where dx·ηf·σa and μc are diagonal,field, inner and central automorphisms, respectively, of U^1.

关 键 词：扭群 自同构 幺幂子群 

分 类 号：O152.5[理学—数学]