English

Subgroups of bounded rank in hyperbolic 3-manifold groups

Geometric Topology 2024-04-03 v2

Abstract

We prove a finiteness theorem for subgroups of bounded rank in hyperbolic 33-manifold groups. As a consequence, we show that every bounded rank covering tower of closed hyperbolic 33-manifolds is a tower of finite covers associated to a fibration over a 11-orbifold.

Keywords

Cite

@article{arxiv.2401.01328,
  title  = {Subgroups of bounded rank in hyperbolic 3-manifold groups},
  author = {Ian Biringer},
  journal= {arXiv preprint arXiv:2401.01328},
  year   = {2024}
}

Comments

8 pages

R2 v1 2026-06-28T14:07:07.966Z