English

Schlichting's Theorem for Approximate Subgroups

Group Theory 2020-07-21 v2 Logic

Abstract

We prove Schlichting's theorem for approximate subgroups: if X\mathcal{X} is a uniform family of commensurable approximate subgroups in some ambient group, then there exists an invariant approximate subgroup commensurable with X\mathcal{X}.

Keywords

Cite

@article{arxiv.1809.05015,
  title  = {Schlichting's Theorem for Approximate Subgroups},
  author = {Tingxiang Zou},
  journal= {arXiv preprint arXiv:1809.05015},
  year   = {2020}
}
R2 v1 2026-06-23T04:05:34.342Z