$E_\infty$-cells and general linear groups of finite fields
Algebraic Topology
2025-01-22 v2
Abstract
We prove new homological stability results for general linear groups over finite fields. These results are obtained by constructing CW approximations to the classifying spaces of these groups, in the category of -algebras, guided by computations of homology with coefficients in the -split Steinberg module.
Cite
@article{arxiv.1810.11931,
title = {$E_\infty$-cells and general linear groups of finite fields},
author = {Soren Galatius and Alexander Kupers and Oscar Randal-Williams},
journal= {arXiv preprint arXiv:1810.11931},
year = {2025}
}
Comments
32 pages, final version to appear in Annales scientifiques de l'\'Ecole normale sup\'erieure