Growth tightness of quotients by confined subgroups
Group Theory
2024-09-17 v1 Geometric Topology
Abstract
In this paper, we establish the growth tightness of the quotient by confined subgroups in groups admitting the statistically convex-cocompact action with contracting elements. The result is sharp in the sense that the actions could not be relaxed with purely exponential growth. Applications to uniformly recurrent subgroups are discussed.
Keywords
Cite
@article{arxiv.2409.10268,
title = {Growth tightness of quotients by confined subgroups},
author = {Lihuang Ding and Wenyuan Yang},
journal= {arXiv preprint arXiv:2409.10268},
year = {2024}
}
Comments
19 pages, 3 figures, Appendix by Lihuang Ding and Kairui Liu