On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups
Group Theory
2025-06-26 v1 Geometric Topology
Metric Geometry
Abstract
In this short note, we prove the existence of weakly malnormal, virtually free, quasiconvex subgroups in any nonelementary hyperbolic group. This extends a result of Ilya Kapovich, where he proved the existence of malnormal quasiconvex subgroups in torsion-free hyperbolic groups.
Cite
@article{arxiv.2506.20161,
title = {On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups},
author = {Rakesh Halder and Pranab Sardar},
journal= {arXiv preprint arXiv:2506.20161},
year = {2025}
}
Comments
15 pages, No figures