Locally isotropic elementary groups
Group Theory
2026-05-08 v2
Abstract
We construct elementary subgroups of all reductive groups of the local isotropic rank over rings and prove their basic properties. In particular, our results may be applied to the automorphism groups of any finitely generated projective modules over commutative unital rings of rank at every prime ideal.
Cite
@article{arxiv.2310.01592,
title = {Locally isotropic elementary groups},
author = {Egor Voronetsky},
journal= {arXiv preprint arXiv:2310.01592},
year = {2026}
}