Quasi-isometrically embedded subgroups of Thompson's group F

Jose Burillo

Quasi-isometrically embedded subgroups of Thompson's group F

Group Theory 2007-05-23 v1

Authors: 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.

Cite

@article{arxiv.math/9802095,
  title  = {Quasi-isometrically embedded subgroups of Thompson's group F},
  author = {Jose Burillo},
  journal= {arXiv preprint arXiv:math/9802095},
  year   = {2007}
}

Comments

AMS-Tex file, 8 pages

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