English

Absolute profinite rigidity of some closed fibered hyperbolic 3-manifolds

Geometric Topology 2022-05-19 v1 Group Theory Number Theory

Abstract

We give the first examples of closed fibered hyperbolic 3-manifolds whose fundamental groups are distinguished from every other finitely generated, residually finite group by their finite quotients. One of the examples is also the first example of a non-orientable profinitely rigid hyperbolic 3-manifold.

Keywords

Cite

@article{arxiv.2205.08693,
  title  = {Absolute profinite rigidity of some closed fibered hyperbolic 3-manifolds},
  author = {Tamunonye Cheetham-West},
  journal= {arXiv preprint arXiv:2205.08693},
  year   = {2022}
}

Comments

15 pages, 2 figures