Characterizing linear groups in terms of growth properties
Group Theory
2016-11-16 v2
Abstract
Residual finiteness growth measures how well-approximated a group is by its finite quotients. We prove that some related growth functions characterize linearity for a class of groups including all hyperbolic groups.
Cite
@article{arxiv.1403.0983,
title = {Characterizing linear groups in terms of growth properties},
author = {Khalid Bou-Rabee and D. B. McReynolds},
journal= {arXiv preprint arXiv:1403.0983},
year = {2016}
}
Comments
v2. 10 pages. Substantially revised. Numerous changes and corrections. Final version. To appear in Michigan Math. J