Thompson's Group F is not Minimally Almost Convex
Group Theory
2007-05-23 v1
Abstract
We prove that Richard Thompson's group F is not minimally almost convex with respect to the two standard generators. This improves upon a recent result of S. Cleary and J. Taback. We make use of the forest diagrams for elements of F introduced by J. Belk and K. Brown. These diagrams seem particularly well-suited for understanding the Cayley graph for the two standard generators.
Keywords
Cite
@article{arxiv.math/0301141,
title = {Thompson's Group F is not Minimally Almost Convex},
author = {James Belk and Kai-Uwe Bux},
journal= {arXiv preprint arXiv:math/0301141},
year = {2007}
}
Comments
14 pages, 15 figures, 1 table