Borel stability for congruence subgroups
Algebraic Topology
2017-05-04 v3 K-Theory and Homology
Abstract
We prove a homological stability theorem for congruence subgroups of symplectic groups. From this theorem, we deduce a generalization of a theorem of Borel showing that certain homology groups of a congruence subgroup do not depend on the level of the congruence subgroup.
Cite
@article{arxiv.1207.6725,
title = {Borel stability for congruence subgroups},
author = {David Bruce Cohen},
journal= {arXiv preprint arXiv:1207.6725},
year = {2017}
}
Comments
14 pages; to appear in the Bulletin of the London Math Society