Explicit strong boundedness for higher rank symplectic groups
Abstract
This paper gives an explicit argument to show strong boundedness for Sp2n(R) for R a ring of S-algebraic integers or a semi-local ring. This gives a quantitative version of a related abstract result in a previous paper of the author. The results presented further generalize older results regarding strong boundedness by Kedra, Libman and Martin and Morris from SLn to Sp2n. Further, the presented results solve the question of the asymptotic of strong boundedness for Sp2n(R) for R semi-local case with an argument that immediately generalizes to all other split Chevalley groups.
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