English

Two-parabolic-generator subgroups of hyperbolic 3-manifold groups

Geometric Topology 2023-03-02 v2

Abstract

We give a detailed account of Agol's theorem and his proof concerning two-meridional-generator subgroups of hyperbolic 2-bridge link groups, which is included in the slide of his talk at the Bolyai conference 2001. We also give a generalization of the theorem to two-parabolic-generator subgroups of hyperbolic 3-manifold groups, which gives a refinement of a result due to Boileau-Weidmann.

Keywords

Cite

@article{arxiv.2302.11031,
  title  = {Two-parabolic-generator subgroups of hyperbolic 3-manifold groups},
  author = {Shunsuke Sakai and Makoto Sakuma},
  journal= {arXiv preprint arXiv:2302.11031},
  year   = {2023}
}

Comments

47 pages, 22 figures

R2 v1 2026-06-28T08:46:09.298Z