Geodesic
Fillings, finite generation and direct limits of relatively hyperbolic groups
Daniel Groves1 orcid ; Jason Fox Manning2 orcid
1University of Illinois at Chicago, United States
2University at Buffalo, United States
Groups, geometry, and dynamics, Tome 1 (2007) no. 3, pp. 329-342

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DOI

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.
DOI : 10.4171/ggd/16
Classification : 20-XX, 46-XX, 00-XX
Mots-clés : Relatively hyperbolic groups, uniform embeddings, Novikov Conjecture

Daniel Groves  1   ; Jason Fox Manning  2

1 University of Illinois at Chicago, United States
2 University at Buffalo, United States 
Daniel Groves; Jason Fox Manning. Fillings, finite generation and direct limits of relatively hyperbolic groups. Groups, geometry, and dynamics, Tome 1 (2007) no. 3, pp. 329-342. doi: 10.4171/ggd/16
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     number = {3},
     doi = {10.4171/ggd/16},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/16/}
}
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