English

Hyperbolic 3-Manifolds Groups are Subgroup Conjugacy Separable

Group Theory 2016-05-31 v1

Abstract

A group GG is called subgroup conjugacy separable if for every pair of non-conjugate finitely generated subgroups of GG, there exists a finite quotient of GG where the images of these subgroups are not conjugate. It is proved that the fundamental group of a hyperbolic 3-manifold (closed or with cusps) is subgroup conjugacy separable.

Keywords

Cite

@article{arxiv.1605.08981,
  title  = {Hyperbolic 3-Manifolds Groups are Subgroup Conjugacy Separable},
  author = {S. C. Chagas and P. A. Zalesskii},
  journal= {arXiv preprint arXiv:1605.08981},
  year   = {2016}
}
R2 v1 2026-06-22T14:12:14.881Z