LAUSR

Abstract. This paper gives an explicit argument to show strong boundedness for Sp 2n (R) for R a ring of S-algebraic integers or a semi-local ring. This gives a quantitative version of the abstract result in the paper [16]. The results presented further generalize older results regarding strong boundedness by Kedra, Libman and Martin [7] and Morris [10] from SLn to Sp 2n . Further, the presented results completely solve the question of the asymptotic of strong boundedness for Sp 2n (R) for R semi-local case with an argument that immediately generalizes to all other split Chevalley groups.