Verbal width in arithmetic Chevalley groups
arXiv:2401.02934 · doi:10.1016/j.jalgebra.2024.12.002
Abstract
We prove that the width of any word in a simply connected Chevalley group of rank at least 2 over the ring that is a localisation of the ring of integers in a number field is bounded by a constant that depends only on the root system and on the degree of the number field.
11 pages