Year: 2025
Type: article
Abstract: In this paper, we provide bounds linear in the rank for the generalized conjugacy diameters, introduced by Kedra et al., for the special linear and symplectic groups defined over the rings of integers of global fields by way of using certain stability considerations familiar from classical algebraic [Formula: see text]-theory. This determines the growth rates of these generalized conjugacy diameters.
Source: Journal of Topology and Analysis
Author: Alexander A. Trost
Institution: University of Wrocław
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4413647254