English

Stability, approximable quotients, and higher property (T)

Group Theory 2025-12-11 v1

Abstract

We construct a wealth of groups that are finitely presented, Frobenius stable, have property (T), but are very far from having property (T2_2). Our method also shows that property (T2_2) does not pass to quotients.

Keywords

Cite

@article{arxiv.2512.09180,
  title  = {Stability, approximable quotients, and higher property (T)},
  author = {Francesco Fournier-Facio},
  journal= {arXiv preprint arXiv:2512.09180},
  year   = {2025}
}

Comments

9 pages

R2 v1 2026-07-01T08:18:06.217Z