Strong accessibility for hyperbolic groups

Details Strong accessibility for hyperbolic groups Strong accessibility for hyperbolic groups

2007-01-19

arxiv.org/abs/math/0701544v3

Mathematics

Group Theory

18 pages, 6 figures; modified due to an error in v1

Scientific paper

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.

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