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Strong accessibility for hyperbolic groups

Diane M. Vavrichek
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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.

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Diane M. Vavrichek. 2007-10-19. Strong accessibility for hyperbolic groups. https://doi.org/10.2140/agt.2008.8.1459

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