Explicit strong boundedness for higher rank symplectic groups
Group Theory
2023-08-21 v1
Abstract
This paper gives an explicit argument to show strong boundedness for for 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 to . Further, the presented results solve the question of the asymptotic of strong boundedness for for semi-local case with an argument that immediately generalizes to all other split Chevalley groups.
Cite
@article{arxiv.2012.12328,
title = {Explicit strong boundedness for higher rank symplectic groups},
author = {Alexander Trost},
journal= {arXiv preprint arXiv:2012.12328},
year = {2023}
}