论文标题
较高等级符号组的明确强度
Explicit strong boundedness for higher rank symplectic groups
论文作者
论文摘要
本文给出了一个明确的论点，以显示$ {\ rm sp} _ {2n}（r）$ $ r $的强度界限。这给出了作者先前论文中相关摘要结果的定量版本。结果进一步概括了Kedra，Libman和Martin和Morris从$ {\ rm sl} _n $到$ {\ rm sp} _ {2n} $的较旧结果。此外，提出的结果解决了$ {\ rm sp} _ {2n}（r）$ $ r $半本地案例的渐近界限的问题，并以立即推广到所有其他分裂的Chevalley组的论点。
This paper gives an explicit argument to show strong boundedness for ${\rm Sp}_{2n}(R)$ 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 ${\rm SL}_n$ to ${\rm Sp}_{2n}$. Further, the presented results solve the question of the asymptotic of strong boundedness for ${\rm Sp}_{2n}(R)$ for $R$ semi-local case with an argument that immediately generalizes to all other split Chevalley groups.
