A note on convexity properties of Thompson's group F

Authors

Matthew Horak, University of Wisconsin-Stout
Melanie Stein, Trinity College Hartford
Jennifer Taback, Bowdoin College

Document Type

Article

Publication Date

1-1-2012

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 x1. 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, generalizing results in [4]. © Gruyter 2012.

Recommended Citation

Horak, Matthew; Stein, Melanie; and Taback, Jennifer, "A note on convexity properties of Thompson's group F" (2012). Mathematics Faculty Publications. 51.
https://digitalcommons.bowdoin.edu/mathematics-faculty-publications/51