Arbitrarily Large Residual Finiteness Growth
Group Theory
2013-04-08 v1
Abstract
The residual finiteness growth of a group quantifies how well approximated the group is by its finite quotients. In this paper, we construct groups with arbitrarily large residual finiteness growth. We also demonstrate a new relationship between residual finiteness growth and some decision problems in groups, which we apply to our new groups.
Cite
@article{arxiv.1304.1782,
title = {Arbitrarily Large Residual Finiteness Growth},
author = {Khalid Bou-Rabee and Brandon Seward},
journal= {arXiv preprint arXiv:1304.1782},
year = {2013}
}
Comments
6 pages