English

On Commensurizer Growth

Group Theory 2009-11-09 v1 Combinatorics

Abstract

We study new asymptotic invariant of a pair consisting of a group and a subgroup, which we call Commensurizer Growth. We compute the commensurizer growth for several examples, concentrating mainly on the case of a locally compact topological group and a lattice inside it.

Keywords

Cite

@article{arxiv.0911.1296,
  title  = {On Commensurizer Growth},
  author = {Nir Avni and Seonhee Lim and Eran Nevo},
  journal= {arXiv preprint arXiv:0911.1296},
  year   = {2009}
}
R2 v1 2026-06-21T14:08:25.727Z