Groups, Geometry, and Dynamics
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Published online: 2007-09-30
Fillings, finite generation and direct limits of relatively hyperbolic groupsDaniel Groves and Jason F. Manning (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