Finitely generated groups acting uniformly properly on hyperbolic space

HIGHLIGHTS

• who: Groups Geom. Dyn. and colleagues from the V, we obtain a group HW by replacing relators in W with their p-th powersThe algebraic structure of the groups constructed is similar to that of subgroups of hyperbolic groups. Thus it would be of interest to obtain a characterisation of when these groups embed in hyperbolic groups. For example, if the set of relators for which p-th powers are taken is chosen in a periodic way, then the group HW is a subgroup of a hyperbolic group. In this instance, the hyperbolic group acts properly cocompactly . . .
  

   

  

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