%0 Journal Article
%T Metrics and embeddings of generalizations of Thompson's group F
%A Jose Burillo
%A Sean Cleary
%A Melanie Stein
%J Mathematics
%D 1998
%I arXiv
%X The distance from the origin in the word metric for generalizations F(p) of Thompson's group F is quasi-isometric to the number of carets in the reduced rooted tree diagrams representing the elements of F(p). This interpretation of the metric is used to prove that every F(p) admits a quasi-isometric embedding into every F(q), and also to study the behavior of the shift maps under these embeddings.
%U http://arxiv.org/abs/math/9809185v3