English

Residually finite non linear hyperbolic groups

Group Theory 2022-08-01 v1

Abstract

We exhibit the first examples of residually finite non-linear Gromov hyperbolic groups. Our examples are constructed as amalgamated products of torsion-free cocompact lattices in the rank 1 Lie group Sp(d,1)\mathrm{Sp}(d,1), d2d\geq 2 along maximal cyclic subgroups.

Keywords

Cite

@article{arxiv.2207.14356,
  title  = {Residually finite non linear hyperbolic groups},
  author = {Nicolas Tholozan and Konstantinos Tsouvalas},
  journal= {arXiv preprint arXiv:2207.14356},
  year   = {2022}
}
R2 v1 2026-06-25T01:19:01.700Z