Groups, Geometry, and Dynamics


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Volume 1, Issue 3, 2007, pp. 329–342
DOI: 10.4171/GGD/16

Published online: 2007-09-30

Fillings, finite generation and direct limits of relatively hyperbolic groups

Daniel Groves[1] and Jason F. Manning[2]

(1) University of Illinois at Chicago, United States
(2) University at Buffalo, United States

We examine the relationship between finitely and infinitely generated relatively hyperbolic groups. We observe that direct limits of relatively hyperbolic groups are in fact direct limits of finitely generated relatively hyperbolic groups. We combine this observation with known results to prove the Strong Novikov Conjecture for some exotic groups constructed by Osin.

Keywords: Relatively hyperbolic groups, uniform embeddings, Novikov Conjecture

Groves Daniel, Manning Jason: Fillings, finite generation and direct limits of relatively hyperbolic groups. Groups Geom. Dyn. 1 (2007), 329-342. doi: 10.4171/GGD/16