A Combination Theorem for Strong Relative Hyperbolicity
Geometric Topology
2014-11-11 v2 Group Theory
Abstract
We prove a combination theorem for trees of (strongly) relatively hyperbolic spaces and finite graphs of (strongly) relatively hyperbolic groups. This gives a geometric extension of Bestvina and Feighn's Combination Theorem for hyperbolic groups and answers a question of Swarup. We also prove a converse to the main Combination Theorem.
Cite
@article{arxiv.math/0611601,
title = {A Combination Theorem for Strong Relative Hyperbolicity},
author = {Mahan Mj and Lawrence Reeves},
journal= {arXiv preprint arXiv:math/0611601},
year = {2014}
}
Comments
v2: 19 pages, no figures. Slight typographical differences with published version. Converse to main combination theorem added