Constructing Bowditch boundaries of some relatively hyperbolic groups that are homeomorphic to the $n$-dimensional Sierpi\'nski carpet
Group Theory
2022-08-16 v1 Geometric Topology
Abstract
In this paper we prove that if some relatively hyperbolic groups have Bowditch boundary homeomorphic to the -sphere, then they are also relatively hyperbolic with respect to another set of parabolic subgroups and its Bowditch boundary is homeomorphic to the -dimensional Sierpi\'nski carpet.
Keywords
Cite
@article{arxiv.2208.06942,
title = {Constructing Bowditch boundaries of some relatively hyperbolic groups that are homeomorphic to the $n$-dimensional Sierpi\'nski carpet},
author = {Lucas H. R. de Souza},
journal= {arXiv preprint arXiv:2208.06942},
year = {2022}
}
Comments
17 pages. arXiv admin note: text overlap with arXiv:2208.00144