Homological stability for general linear groups over Dedekind domains
Commutative Algebra
2024-05-14 v1 Algebraic Topology
K-Theory and Homology
Abstract
We prove a new kind of homological stability theorem for automorphism groups of finitely-generated projective modules over Dedekind domains, which takes into account all possible stabilisation maps between these, rather than only stabilisation by the free module of rank 1. We show the same kind of stability holds for Clausen and Jansen's reductive Borel--Serre spaces.
Cite
@article{arxiv.2405.07566,
title = {Homological stability for general linear groups over Dedekind domains},
author = {Oscar Randal-Williams},
journal= {arXiv preprint arXiv:2405.07566},
year = {2024}
}
Comments
18 pages