Strong accessibility for hyperbolic groups
arXiv:math/0701544 · doi:10.2140/agt.2008.8.1459
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.
18 pages, 6 figures; modified due to an error in v1