Convexity properties of Thompson's group F
Group Theory
2021-09-24 v1
Abstract
We prove that Thompson's group F is not minimally almost convex with respect to any generating set which is a subset of the standard infinite generating set for F and which contains x_1. We use this to show that F is not almost convex with respect to any generating set which is a subset of the standard infinite generating set.
Keywords
Cite
@article{arxiv.0801.1862,
title = {Convexity properties of Thompson's group F},
author = {Matthew Horak and Melanie Stein and Jennifer Taback},
journal= {arXiv preprint arXiv:0801.1862},
year = {2021}
}
Comments
11 pages, 3 figures