Title

Computing word length in alternate presentations 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

12-1-2009

Abstract

We introduce a new method for computing the word length of an element of Thompson's group F with respect to a "consecutive" generating set of the form Xn = {x0,x1, ⋯, xn}, which is a subset of the standard infinite generating set for F. We use this method to show that (F, Xn) is not almost convex, and has pockets of increasing, though bounded, depth dependent on n. © 2009 World Scientific Publishing Company.

Recommended Citation

Horak, Matthew; Stein, Melanie; and Taback, Jennifer, "Computing word length in alternate presentations of thompson's group F" (2009). Mathematics Faculty Publications. 55.
https://digitalcommons.bowdoin.edu/mathematics-faculty-publications/55