English

Quantifying residual finiteness of arithmetic groups

Group Theory 2019-02-20 v1

Abstract

The normal Farb growth of a group quantifies how well-approximated the group is by its finite quotients. We show that any S-arithmetic subgroup of a higher rank Chevalley group G has normal Farb growth n^dim(G).

Keywords

Cite

@article{arxiv.1008.3579,
  title  = {Quantifying residual finiteness of arithmetic groups},
  author = {Khalid Bou-Rabee and Tasho Kaletha},
  journal= {arXiv preprint arXiv:1008.3579},
  year   = {2019}
}

Comments

18 pages

R2 v1 2026-06-21T16:03:28.484Z