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
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