U(F_2~kD_(12))和U(F_3~kD_(12))的结构(英文)  

Structures of U(F_2~kD_(12)) and U(F_3~kD_(12))

作　　者：谢春云[1] 陈蔚凝[1] 唐高华[1] 

机构地区：[1]广西师范学院数学科学学院,广西南宁530023

出　　处：《广西师范学院学报（自然科学版）》2011年第4期1-6,共6页Journal of Guangxi Teachers Education University(Natural Science Edition)

基　　金：This research was supported by the National Natural Science Foundation of China(11161006,11171142);the Guangxi Natural Science Foundation(2011GXNSFA018139,2010GXNSFB013048,0991102);Guangxi"newcentury 1000 talents project"

摘　　要：在这篇文章中主要研究了二面体群在特征为2或3的域上的群代数的单位群结构,它们可以分解成一些循环群和线性群的直积.The structure of unit group of group algebra of the group D12 over any finite field of characteristic 2 or 3 is established in terms of split extensions of cyclic groups and general linear groups.

关 键 词：群代数 单位群 二面体群 

分 类 号：O152[理学—数学] O153[理学—基础数学]