Images of groups in relatively hyperbolic groups
by
Francois Dahmani
Univ. Toulouse

A theorem of Thurston states that, given a closed hyperbolic surface S, and a geometrically finite hyperbolic 3-manifold M, there are only finitely many conjugacy classes of subgroups isomorphic to p₁(S) in p₁(M) with the property that no closed curve is in a cusp. We explain how this result generalises in the case of images of finitely presented groups in relatively hyperbolic groups.

Date received: October 25, 2004