Strong accessibility for hyperbolic groups
Group Theory
2014-10-01 v3 Geometric Topology
Abstract
We use an accessibility result of Delzant and Potyagailo to prove Swarup's Strong Accessibility Conjecture for Gromov hyperbolic groups with no 2-torsion. It follows that, if M is an irreducible, orientable, compact 3-manifold with hyperbolic fundamental group, then any hierarchy in which M is decomposed alternately along compressing disks and essential annuli is finite.
Cite
@article{arxiv.math/0701544,
title = {Strong accessibility for hyperbolic groups},
author = {Diane M. Vavrichek},
journal= {arXiv preprint arXiv:math/0701544},
year = {2014}
}
Comments
18 pages, 6 figures; modified due to an error in v1