2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76628The goal of this paper is to construct quasi-isometrically embedded subgroups of Thompson's group $F$ which are isomorphic to $\fz^n$ for all $n$. A result estimating the norm of an element of Thompson's group is found. As a corollary, Thompson's group is seen to be an example of a finitely presented group which has an infinite-dimensional asymptotic cone.AMS-Tex file, 8 pagesGroup Theorytext