arXiv Analytics

Sign in

arXiv:0801.1862 [math.GR]AbstractReferencesReviewsResources

Convexity properties of Thompson's group F

Matthew Horak, Melanie Stein, Jennifer Taback

Published 2008-01-11Version 1

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.

Comments: 11 pages, 3 figures
Categories: math.GR
Subjects: 20F65
Related articles: Most relevant | Search more
arXiv:math/0310466 [math.GR] (Published 2003-10-29, updated 2004-08-02)
Seesaw words in Thompson's group F
arXiv:math/0701748 [math.GR] (Published 2007-01-25)
Interpreting the arithmetic in Thompson's group F
arXiv:1105.4017 [math.GR] (Published 2011-05-20, updated 2014-01-08)
Schreier graphs of actions of Thompson's group F on the unit interval and on the Cantor set