Homological dimension of discrete subgroups in higher rank Lie groups
Geometric Topology
2025-04-29 v1 Differential Geometry
Group Theory
Abstract
In this short note, we improve on a recent result by the authors. We show that infinite volume torsion free discrete subgroups of higher rank Lie groups have homological dimension gap at least one-eighth of the real rank, provided the injectivity radius of the quotient manifold is uniformly bounded from zero.
Keywords
Cite
@article{arxiv.2504.18923,
title = {Homological dimension of discrete subgroups in higher rank Lie groups},
author = {Chris Connell and D. B. McReynolds and Shi Wang},
journal= {arXiv preprint arXiv:2504.18923},
year = {2025}
}
Comments
v1. 18 pages