Dehn fillings and elementary splittings
Group Theory
2016-07-13 v3
Abstract
We consider conditions on relatively hyperbolic groups about the non-existence of certain kinds of splittings, and show these properties persist in long Dehn fillings. We deduce that certain connectivity properties of the Bowditch boundary persist under long fillings.
Cite
@article{arxiv.1506.03831,
title = {Dehn fillings and elementary splittings},
author = {Daniel Groves and Jason Fox Manning},
journal= {arXiv preprint arXiv:1506.03831},
year = {2016}
}
Comments
44 pages, 1 figure. v2 minor changes and corrections. v3 corrected Corollary 4.6; this version accepted for publication in Transactions of the AMS