假定 R 是主要理想的 ring.R *是的一个趋于增加的组在 R ,和 Mn (R)由所有可逆元素组成, GL ( n , R ), SL ( n , R )被表示由, R *), SL ( n , R )={ gGL ( n , R )| detg=1 ), SL ( n , R ) GGL ( n , R )( n3 )分别地,然后基于这些事实,主要,讨论的焦点都扩大了的这份报纸Gr=组织{( AB OD ) G|AGL ( r , R ),( 1rn )}在 G 当 R 是主要理想时,响。
Suppose R is a principal ideal ring, R^* is a multiplicative group which is composed of all reversible elements in R, and Mn(R), GL(n,R), SL(n,R) are denoted by,Mn(R)={A=(aij)n×n|aij∈R,i,j=1,2…,n},GL(n,R)={g|g∈Mn(R),det g∈R^*},SL(n,R)={g∈GL(n,R)|det g=1},SL(n,R)≤G≤GL(n,R)(n≥3),respectively,then basing on these facts, this paper mainly focus on discussing all extended groups of Gr={(O D^A B)∈G|A∈GL(r,R),(1≤r〈n)}in G when R is a principal ideal ring.