On the top-dimensional cohomology of arithmetic Chevalley groups
Algebraic Topology
2025-06-10 v2 Group Theory
Number Theory
Abstract
Let be a number field with ring of integers and let be a Chevalley group scheme not of type , or . We use the theory of Tits buildings and a result of T\'oth on Steinberg modules to prove that if is Euclidean.
Keywords
Cite
@article{arxiv.2210.12784,
title = {On the top-dimensional cohomology of arithmetic Chevalley groups},
author = {Benjamin Brück and Yuri Santos Rego and Robin J. Sroka},
journal= {arXiv preprint arXiv:2210.12784},
year = {2025}
}
Comments
8 pages; v2: small changes according to referee's suggestions; to appear in Proc. Amer. Math. Soc