JournalsggdVol. 1 , No. 3DOI 10.4171/ggd/16

Fillings, finite generation and direct limits of relatively hyperbolic groups

  • Daniel Groves

    University of Illinois at Chicago, United States
  • Jason Fox Manning

    University at Buffalo, United States
Fillings, finite generation and direct limits of relatively hyperbolic groups cover

Abstract

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.