Geodesic
Strong accessibility for hyperbolic groups
Vavrichek, Diane M1
1Department of Mathematical Sciences, Binghamton University, Binghamton, NY 13902-6000, USA
Algebraic and Geometric Topology, Tome 8 (2008) no. 3, pp. 1459-1479
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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.

DOI : 10.2140/agt.2008.8.1459
Keywords: group accessibility, hierarchies, hyperbolic groups, Bass–Serre theory

Vavrichek, Diane M  1

1 Department of Mathematical Sciences, Binghamton University, Binghamton, NY 13902-6000, USA 
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Vavrichek, Diane M. Strong accessibility for hyperbolic groups. Algebraic and Geometric Topology, Tome 8 (2008) no. 3, pp. 1459-1479. doi: 10.2140/agt.2008.8.1459

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