English

Maximal subgroups of countable groups, a survey

Group Theory 2020-01-22 v2

Abstract

This paper is a survey on the works [MS77, MS79, MS81] on maximal subgroups in finitely generated linear groups, and the works that followed it [GG08, GG13b, GG13a, Kap03, Iva92, HO16, GM16, AGS14, Sf90, Sf98, Per05, AKT16, FG18, GS17] concerning maximal subgroups of infinite index in linear groups as well as in various other groups possessing a suitable geometry or dynamics.

Keywords

Cite

@article{arxiv.1909.09361,
  title  = {Maximal subgroups of countable groups, a survey},
  author = {Tsachik Gelander and Yair Glasner and Gregory Soifer},
  journal= {arXiv preprint arXiv:1909.09361},
  year   = {2020}
}

Comments

40 pages

R2 v1 2026-06-23T11:21:03.660Z