数学季刊(英文版)
數學季刊(英文版)
수학계간(영문판)
CHINESE QUARTERLY JOURNAL OF MATHEMATICS
2008年
4期
600-605
,共6页
principal ideal ring%extended group%linear group
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,R*),SL(n,R)={g∈GL(n,R)|detg=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={(AB OD)∈G|A∈GL(r,R),(1≤r<n)}in G when R is a principal ideal ring.