CSP in general algebraic groups
B. Sury · Texts and readings in mathematics · 2003
In this chapter, we recall the notions of linear algebraic groups and their arithmetic subgroups. After developing some background material on these notions, we shall formulate the CSP in the general situation. This will be followed by a survey of the known results with regard to the CSP. This chapter is merely meant to be a brief survey of the state-of-the-art of this topic. Most of the results stated and proved for SL n in the previous five chapters will have analogues which are either known or conjectured to be true in the existent literature. We shall hardly give any proofs except for very brief sketches of some important results of particular relevance to us like the proof of centrality of the congruence kernel. The informed reader is referred to the surveys in [PR2], last chapter and [R3].