Overgroups in GL (nr, F) of TU (n, K, h) or Ω (n, K Q)  

作　　者：李尚志 

机构地区：[1]Department of Mathematics, University of Science and Technology of China, Hefei 230026, PRC

出　　处：《Chinese Science Bulletin》1994年第3期182-185,共4页

基　　金：National Natural Science Foundation of China.

摘　　要：Let K, F be division rings, with KF,and dim_F K=r【∞ when we regard K asa left F-space. An n-dimensional left K-space V(n, K) can be regarded as annr-dimensional left space V= V(nr,F) over F,and thus GL (n, K) acting on V(n, K)is embedded in GL (nr, F) acting on V (nr, F). In Ref. [1] we determined theovergroups of SL (n, K) and Sp (n, K) in GL(nr,F), Which are precisely the lineargroups or symplectic groups acting on the vector spaces structure V (nd, E)

关 键 词：classical GROUPS OVER DIVISION RINGS GROUPS OVER DIVISION extension RINGS overgroups vector space structures OVER intermediate DIVISION RINGS maximal subgroups. 

分 类 号：O153.3[理学—数学]