有限交换环上典型群的Carter子群  

Carter Subgroups of Classical Groups over Finite Commutative Rings

作　　者：游宏[1] 高有[2] 

机构地区：[1]哈尔滨工业大学数学系,黑龙江哈尔滨150001 [2]东北电力学院基础部,吉林吉林132012

出　　处：《数学学报（中文版）》2002年第4期825-832,共8页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(19871018)

摘　　要：令R为有限交换局部环,K为其剩余类域,令|K|=q.本文研究了R上辛群Sp2nR和正交群O2nR的Carter子群的存在性及结构,并给出R上正交群O2nR在q≡-1（mod 4）情况下的Sylow 2-子群的正确描述.Let R be a finite commutative local ring and K the residue field of R. In the present paper, the authors studied the existence and the structure of Carter subgroups of symplectic groups Sp2nR and orthogonal groups O2nR over R and gave a correct description of Sylow 2- subgroups of O2n R in the case of q≡ -1 (mod 4).

关 键 词：Carter子群 辛群 正交群 有限交换环 

分 类 号：O152.1[理学—数学]