交换半局部环上Witt指数非零的二阶酉群  

TWO—DIMENSIONAL UNITARY GROUP WITH POSITIVE WITT INDEX OVER COMMUTATIVE SEMILOCAL RINGS

作　　者：张永正[1] 

机构地区：[1]东北师大数学系

出　　处：《东北师大学报（自然科学版）》1989年第1期15-21,共7页Journal of Northeast Normal University(Natural Science Edition)

摘　　要：文献[1]给出了域和特征非零的体上的 Witt 指数非零的二阶酉群的自同构形式,本文确定了交换半局部环上 Witt 指数非零的二阶酉群的正规子群与自同构形式。In this paper we prove following: Theeorem 1,Let R be a commutative semilocal ring,2∈R~*, S/M_()F_3,t=1,…,r.Then Subgroup G of U_2(R) is normal() there exists aideal A of R such that TG (R,A)()G()UC (R,A). Theorem 2.Let R be a commutative semil ocal ring,S/M_t() F_2,F_3,F_().Then automorphism of U_2(R) is following form: () where p∈GL_2(S),x is a homomorphism of U_2(R) into its center, h satifies U-condition.

关 键 词：局部环 Witt指数 同余子群 酉群 环 

分 类 号：O153.3[理学—数学]