Verbal width in arithmetic Chevalley groups
Group Theory
2024-12-13 v2
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.
Cite
@article{arxiv.2401.02934,
title = {Verbal width in arithmetic Chevalley groups},
author = {Pavel Gvozdevsky},
journal= {arXiv preprint arXiv:2401.02934},
year = {2024}
}
Comments
11 pages