Quasi-isometrically embedded subgroups of Thompson's group F 

by Jose Burillo 

Abstract:
The 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.