有限线性群及辛群的线性嵌入定理  

Linearly Embedding Theorem of Finite Linear Groups and Symplectic Groups

作　　者：王立志[1] 

机构地区：[1]忻州师范学院数学系,山西忻州034000

出　　处：《山西大学学报（自然科学版）》2007年第4期440-441,共2页Journal of Shanxi University(Natural Science Edition)

摘　　要：证明了p元有限域上的有限线性群和辛群在某些条件下可线性地嵌入到该基域上的半线性群和半线性辛群中,所得结果改进了相应的经典嵌入定理.It is proved that under certain conditions finite linear groups and symplectic groups over finite fields of p elements can be linearly embedded into semi-linear groups and semi-linear symplectic groups over the same ground fields respectively ,which improve the corresponding classical embedding theorem.

关 键 词：半线性群 辛群 线性嵌入 

分 类 号：O152[理学—数学]