Foldings in relatively hyperbolic groups
Group Theory
2026-04-10 v2
Abstract
Carrier graphs of groups representing subgroups of a given relatively hyperbolic groups are introduced and a combination theorem for relatively quasi-convex subgroups is proven. Subsequently a theory of folds for such carrier graphs is introduced and finiteness results for subgroups of locally relatively quasiconvex relatively hyperbolic groups and Kleinian groups are established.
Cite
@article{arxiv.2403.17686,
title = {Foldings in relatively hyperbolic groups},
author = {Richard Weidmann and Thomas Weller},
journal= {arXiv preprint arXiv:2403.17686},
year = {2026}
}
Comments
55 pages. arXiv admin note: text overlap with arXiv:2203.02357 by other authors Version 2: Improved exposition, results unchanged