Resumen de Distortion of wreath products in some finitely presented groups
Wreath products such as Z ? Z are not finitely presentable yet can occur as subgroups of finitely presented groups. Here we compute the distortion of Z ? Z as a subgroup of Thompson¿s group F and as a subgroup of Baumslag¿s metabelian group G. We find that Z ? Z is undistorted in F but is at least exponentially distorted in G.
