Linear stable range for homology of congruence subgroups via FI-modules
Representation Theory
2019-08-26 v2 Algebraic Topology
K-Theory and Homology
Number Theory
Abstract
We answer positively a question of Church, Miller, Nagpal and Reinhold on existence of a linear bound on the presentation degree of the homology of a complex of FI-modules. This implies a linear stable range for the homology of congruence subgroups of general linear groups.
Keywords
Cite
@article{arxiv.1712.00890,
title = {Linear stable range for homology of congruence subgroups via FI-modules},
author = {Wee Liang Gan and Liping Li},
journal= {arXiv preprint arXiv:1712.00890},
year = {2019}
}
Comments
Minor revisions. To appear in Selecta Math