Subgroup distortion of 3-manifold groups
Group Theory
2020-02-13 v3 Geometric Topology
Abstract
In this paper, we compute the subgroup distortion of all finitely generated subgroups of all finitely generated 3-manifold groups, and the subgroup distortion in this case can only be linear, quadratic, exponential and double exponential. It turns out that the subgroup distortion of a subgroup of a 3-manifold group is closely related to the separability of this subgroup.
Cite
@article{arxiv.1904.12253,
title = {Subgroup distortion of 3-manifold groups},
author = {Hoang Thanh Nguyen and Hongbin Sun},
journal= {arXiv preprint arXiv:1904.12253},
year = {2020}
}
Comments
To appear in Trans. Amer. Math. Soc